sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.

For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]

The probability that at least one household has a television set is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]

0.99999984 = 99.999984% probability that at least one household has a television set.

A similar problem is given at https://brainly.com/question/24863377


Related Questions

through: (1, 3) and (-3,-5)

Answers

☆Answer : (X1, Y1) = (1, 3) (X2, Y2) = (-3, -5)

m = (Y2 - Y1)/(X2 - X1)

m = (-5 - 3)/(-3 - 1)

m = -8/-4

m = 2

© Write
[tex] \sqrt{8} [/tex]
power of 2​

Answers

Answer:

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you


if line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel
True
O False

Answers

Parallel lines need to have same slope
The lines have different slopes

It is false.

epic gamer question, i'll mark brainlist​

Answers

Answer:

It has to be an isosceles because it has 2 congruent sides (and angles) in the same relative position. The two congruent angles both measure 30 degrees each; the total of degrees in any triangle is always 180. So, the other side has an angle measure of 120 degrees, which is more than 90. Therefore, it is

an obtuse isosceles

please help me !

• don’t use this for points, or send any gross links.

• if you actually KNOW the answer, please do comment / help me!

this is: KS3 — YEAR 8 ! ❤️

Answers

TICKET MONEY for age 16 and over,

155-49 =106

1 person pays £18.60

106 = 106 × £18.60

=£1,971.6

TICKET MONEY for under 16

1 person pays £12.80

49 people =49 × £12.80

= £627.2

TOTAL NUMBER OF TICKETS

£ 1,971.6 + £6272.2

= £2,598.8

14 blue cars out of 70 cars​

Answers

Answer:

66 cars

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

14-70=56

Step-by-step explanation:

its subtraction so you just need 70 and take away 14.

reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.

pls help with number 12 i will give brainliest

Answers

Answer:

My man Zachary is right!

Step-by-step explanation:

The rule is so very simple!

Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!

Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!

So Negative*Negative is Positive (-10 x -10 = 100)

And Positive*Negative is always negative (-10 x 10 = -100)

And we both know that Positive times positive is positive. (10 x 10 = 100)

Help quick 20points please please

Answers

Answer:

AB = 23.6

BC = 18.5

CD = 23.6

DA = 18.5

Step-by-step explanation:

4.

Both sets of opposite sides are parallel, so this is a parallelogram.

In parallelogram ABCD:

AB≅CD

AD≅BC

Knowing that, you can write 2 equations with the given information:

[tex]2a-20.4=a+1.6\\a-3.5=18.5[/tex]

You can solve whichever one you want, but I'll do both to be sure.

[tex]2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22[/tex]

Now for the second one:

[tex]a-3.5=18.5\\a=18.5+3.5\\a=22[/tex]

a = 22, so now you can solve for the side lengths.

[tex]2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5[/tex]

A car was valued at 380,000 in the year 2014. By 2019, the value had depreciated to 110,000. If the cars value continues to drop by the same percentage,what will it be worth by 2017?
Please help thanks and Godbless

Answers

Answer:

160000

Step-by-step explanation:

what is the area of the rectangle below?

Answers

120, you get the area by multiplying the width and length

Answer:

B. 120sq. units

Step-by-step explanation:

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

so

8 * 15 = 120sq. units

round to the nearest hundred 104,549 help 6th

grade​

Answers

Answer: 104,500

Explanation:
The 5 is the hundreds, so you would look at the number to the right, which is 4. The mid point of 549 would be 550. Anything greater than that number would be rounded to 600, but 449 is less than 550, therefore the number won’t be rounded up, leaving us with 500.

Simplify the following and write your answer in simplest radical form:

√-14*√-22

Answers

Hopefully this helps you

Steps are in the attachment.

Note :-

=》2 is taken as negative & also taken out of the square root as it's the common factor.

______

⚜ Hope it helps :))

Translate the following word phrase into an algebraic expression: Nine times a number y.

Answers

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).

Answers

Using the principle of expected value and discrete probability distribution, the missing values are :

* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28

The Expected value, E(X) is defined thus :

E(X) = Σ[(X) × (P(X)]

The cummulative sum of the probability is 1 :

(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)

Hence, we have ;

2** + ** + 0.40 + 0.13 + 0.02 = 1

3** + 0.55 = 1

3** = 1 - 0.55

3** = 0.45

** = 0.45 / 3

** = 0.15

Hence,

* = 2(0.15)

* = 0.30

To find *** :

E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)

12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10

12.77 = 0.77 + 0.40***

12.77 - 0.77 = 0.40***

12.00 = 0.40***

*** = 12.00/0.40

*** = 30

B.)

P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)

P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28

Learn more : https://brainly.com/question/25716562

The price of an item has risen to $343 today. Yesterday it was $140. Find the percentage increase.

Answers

Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

Solve for q.
7q+17q–14q–8q=14
q=

Answers

7q + 17q - 14q - 8q = 14
24q - 22q = 14
2q = 14
q = 7

[tex](7 + 17 - 14 - 8)q = 14[/tex]

[tex](24 - 22)q = 14[/tex]

[tex]2q = 14[/tex]

Divide both sides by 2

[tex] \frac{2q}{2} = \frac{14}{2} \\ [/tex]

[tex]q = 7[/tex]

There u go...

Have a great day ❤

City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.
Which equation can be used to determine the original length of the pool, l?


205.85=2(l+15.3)

205.85=11.6(l+3.7)

205.85=3.7(l+11.6)

Answers

The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)

Let l be the original length of the pool.

Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.

Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,

So, A = LW

Substituting the values of the variables into the equation, we have

A = LW

205.85 = (l + 3.7)11.6

So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)

Learn more:

https://brainly.com/question/12932084

Answer:

Step-by-step explanation

205.85=11.6(l+3.7)

1) Trent made a scale drawing of the elementary school. The schoolyard, which is 85

meters wide in real life, is 102 millimeters wide in the drawing. What scale did Trent use?


6 millimeters:

Answers

The scale Trent used for his elementary school which has a school yard of 85

meters wide in real life and 102 millimetre wide in drawing  is 51 : 42500

Firstly, let's do the conversion of the units

1 meters = 1000 millimetres

85 meters = ?

cross multiply

length in millimetres = 85 × 1000 = 85000 millimetres

Since the schoolyard width is 85000 millimetres in real life but it's 102 millimetres wide in drawing , the scale will be as follows:

= 102 / 85000

= 51 / 42500

Therefore, the scale is as follows:

51 : 42500

learn  more: https://brainly.com/question/25328409?referrer=searchResults

A scale is chosen to plot the large graphs on smaller paper representing each unit by a supposed unit.

1.2 mm is used to represent 1 meter.

In the scale given the 102 mm is drawn to represent 85 meters.

So dividing the graph line with the original length the scale Trent has used can be found.

102/85= 1.2

This shows that 1.2 mm is used to represent 1 meter.

Multiplying 85 with 1.2 gives 102 .

https://brainly.com/question/25798457

I have less than 100 tennis balls. When i put them in tubesof 8, I have 5 left over.when i put them in tubes of 11 i have 3 leftover. How many tennis balls do i have in totals

Answers

Answer:

69

Step-by-step explanation:

8's     8's+5                 11's     11's+3

8         13                    11          14

16        21                   22         25

24       29                  33          36

32       37                  44          47

40       45                  55          58

48        53                  66         69

56        61                   

64        69

How do I do this problem?

Answers

Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

What is the inequality shown?
o
I
1
1
-9
-8 -7 -6 -5
-4 -3 -2 -1
I
0
| 1
1 2
1 1
3 4
T 1
5 6 7
00
8
9

Answers

Answer:

-4 < n ≤5

Step-by-step explanation:

The lower limit is -4.  It has an open circle, so there is no equal sign

-4 < n

The upper limit is 5.  It is a closed circle so there is an equals sign

-4 < n ≤5

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily? ​

Answers

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

Learn more on  confidence interval here: https://brainly.com/question/20066592

1/2+y=5 1/4 complete the following addition equations

Answers

Answer:

So first you can find a common denominator to make this equation solvable

in this case 4 is the common denominator

2/4+y=5 1/4

Now subtract to isolate the variable (y)

4 3/4 =y

can anyone solve this step by step for me​

Answers

Answer:

0.5 ㏑ | 1-2x | +c

Step-by-step explanation:

Formula:  ∫ 1/ax+b dx = 1/a ln Iax+bI +c

Lol pls hurry!!
I need this asap

Answers

Answer: 2, D

Step-by-step explanation: f=-2, so 4x-2 would give -8 add 10 would give 2 as it is for the negative

Bidula has to buy some cups of tea at the rate of Rs. 10 and 3 packets of biscuits at the rate of Rs. 45 .How many maximum cups of tea can she buy with Rs. 332?​

Answers

Answer:

  19 cups

Step-by-step explanation:

Let c represent the number of cups of tea. The total cost will be ...

  10c +3(45) ≤ 332

  10c ≤ 197 . . . . . . . . . . . subtract 135

  c ≤ 19.7

Bidula can buy up to 19 cups of tea with ₹332.

lets simplify
please help step by step​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

5 numbers have a mean of 4, a range of 6, mode of 2 and a median of 3. What could the numbers be? Is this the only answer?

Answers

Step-by-step explanation:

x1, x2, x3, x4, x5

(x1 + x2 + x3 + x4 + x5)/5 = 4

x5 - x1 = 6

x3 = 3

2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.

x1 + x2 + x3 + x4 + x5 = 4×5 = 20

x3 = 3

x1 + x2 + 3 + x4 + x5 = 20

x1 + x2 + x4 + x5 = 17

x5 = x1 + 6

x1 + x2 + x4 + x1 + 6 = 17

2×x1 + x2 + x4 = 11

since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.

so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.

we have therefore 2 different solutions, as either

x1 and x2, or x2 and x4 can be 2.

x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).

solution 1 (x1 and x2 are 2) :

2×2 + 2 + x4 = 11

4 + 2 + x4 = 11

6 + x4 = 11

x4 = 5

so,

x1 = 2,

x2 = 2,

x3 = 3

x4 = 5

x5 = x1 + 6 = 2 + 6 = 8

solution 2 (x2 and x4 are 2) :

2×x1 + 2 + 2 = 11

2×x1 + 4 = 11

2×x1 = 7

x1 = 7/2

so,

x1 = 7/2

x2 = 2

x3 = 3

x4 = 2

x5 = x1 + 6 = 7/2 + 12/2 = 19/2

What temperature is halfway between:

6 and -2

Answers

2 is the correct answer

Answer:

The answer is 2

Step-by-step explanation:

-2, -1, 0, 1, 2, 3, 4, 5, 6

If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.

need some help with these!!

Answers

Answer:

RS = XY

Step-by-step explanation:

Corresponding sides will be equal. So

RS = XY

I’m pretty sure it’s C

Explanation: it’s the only one that makes sense
Other Questions
PLEASE HELP ITS DUE TMR!! Please help me, Im stuck on this question.Solve 3h/7 11 =2 23/28 Solve for h, and provide your answer.Please include explanation and all your steps toward the answerThank you! If you were standing in Iran, in what direction would you travel in order to get to Syria? Jim swam 8 laps on Tuesday, 19 laps on Wednesday, 30 laps on Thursday, and 41 laps on Friday. What kind of sequence is this? both neither arithmetic geometric 1. List three ways in which World War I and the Treaty of Versailles led to politicalinstability in Germany.2. In his book Mein Kampf ["My Struggle"], what goals does Hitler advocate for Germany?3. How did Adolf Hitler become chancellor of Germany in 1933? How did he become theFhrer and sole head of government in 1934?4. How did the 1935 Nuremberg laws affect German Jews?5. Under Nazi racial ideology, what groups were considered racially inferior?6. List three ways the German government tried to isolate and persecute Jews between1933-1938.7. What factors made it difficult for Jews to emigrate from Germany?8. How did German authorities treat the Jewish populations of the occupied easternterritories during World War II?9. How did American soldiers react to the liberation of concentration camps?10. Why do you think it is important to learn about the Holocaust? Why is it not easy to replace a link in a food chain? 1. There are not enough animals to replace the previous organism. 2. The decomposers will not break down another type of organism. 3. There are not enough plants to replace the previous organism. 4. Organisms have a limited number of natural predators. Carbon compounds that come from living organisms are called _____ compounds. Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay? Ok so Im using a word document and towards the bottom of the page it stops me from moving my text box any further down even though Im not at the very bottom of the page just close to it, I NEED to move my text box there can someone please help me figure out how to get past this little green nuisance of technological code why don't birds get electrocuted when they land on the electric wire? can somebody help like rn Solve the equation for x. x-8 = 2 A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B? What are the values of m and n Plz help me plz help plz plz Write a letter in English telling about your shopping hobby in which order do plants development Please help! How to do this? Ill give brainly A school has 320 girls and 250 boysThe probability that a girl is left handed is 0.2The probability that a boy is left handed is 0.1Estimate the umber of left handed students in the school. PLEASE HELP WITH THIS QUESTION