Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer 1

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25


Related Questions

Select the correct answer.
Which one of these functions is a cubic function?

Answers

Answer:

B

Step-by-step explanation:

A cubic function begins with an X^3.

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Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

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Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

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Answer:

C.  Its graph is symmetric about the y-axis.

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Answer:

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Step-by-step explanation:

if m equals x plus 4 squared and x equals -1 then m equals what​

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

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The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)

Answers

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

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Convert 1AA from hexadecimal to decimal.

Answers

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

Please help will do brainliest

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Answer:

2x-7y

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Step-by-step explanation:

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.​

Answers

Answer:

1.L=4;W=3;P=14

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Step-by-step explanation:

because i know

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Answers

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Answers

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Answer:

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Hope this helped!

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Answers

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Answers

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Answers

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Step-by-step explanation:

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aka apple and everything else

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Answers

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Step-by-step explanation:





| Why do we need it? | How to use brackets | The basic rules | The complete rules | Using calculators | Quick quiz |

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I’m so hungry gurlll like stop playinn

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

PEMDAS

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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