Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.

Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?

Answers

Answer 1

Answer:

a

    [tex]P(M  \  n \  J ) = 0.0802 [/tex]

b

  Yes

Step-by-step explanation:

From the question we are told that

    The  probability that a random  selected person of age 40  years or older  is a jogger is [tex]P(J) =  0.274[/tex]

    The  probability that a random  selected person of age 40  years or older  is a male given that he/she jogs  is  [tex]P(M |J) = 0.293[/tex]

Generally the probability that a randomly selected person age 40 years or older is male and jogs

    [tex]P(M  \  n \  J ) = P(M|J) *  P(J)[/tex]

    [tex]P(M  \  n \  J ) = 0.293 * 0.274 [/tex]

     [tex]P(M  \  n \  J ) = 0.0802 [/tex]

Generally it would  be unusual  because the probability that a randomly selected person age 40 years or older is male and jogs is  greater than 0.05[border line for statistical  significance]

   


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Answer:

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Answer:

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Answer:

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Answer:

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Answer:

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HELP!!!
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Answers

Answer:

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ez

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Answers

Answer:

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Answer:

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Answers

Answer: 73 mi/hr

Explanation:

Distance to east+Distance to west = 480

But distance = V x t

Let x be the velocity
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But eastbound train travel 14 mi less than westbound.

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Thus, 73 is the rate of the eastbound train

73 is the rate of the eastbound train while The speed of the westbound train is 59 miles per hour.

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speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train.

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time = 3 hrs, rate = x mph, distance = 3x miles

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time = 3 hrs ; rate = x-14 ; distance = 3x-42 miles

3x + 3x - 42 = 480

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x = 73 (rate of the eastbound train)

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rate = x -14

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Answer:

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9514 1404 393

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

[tex]\frac{x}{5}[/tex] + 6 < 2

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