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____ [38]
3 years ago
8

Suppose there is a 13.9 % probability that a randomly selected person aged 40 years or older is a jogger. In​ addition, there is

a 15.6 % probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. What is the probability that a randomly selected person aged 40 years or older is male and jogs question mark Would it be unusual to randomly select a person aged 40 years or older who is male and jogs question mark The probability that a randomly selected person aged 40 years or older is male and jogs is nothing ​(Round to three decimal places as​ needed.).
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer:

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

It would be unusual to randomly select a person aged 40 years or older who is male and jogs.

Step-by-step explanation:

We have these following probabilities.

A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so P(A) = 0.13.

In​ addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. P(B/A) is the probability that the person is a male, given that he/she jogs. So P(B/A) = 0.156

The Bayes theorem states that:

P(B/A) = \frac{P(A \cap B)}{P(A)}

In which P(A \cap B) is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.

So

P(A \cap B) = P(A).P(B/A) = 0.156*0.139 = 0.217

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

A probability is unusual when it is smaller than 5%.

So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.

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Salsk061 [2.6K]

Answer:

$10.27

Step-by-step explanation:

H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27

3 0
3 years ago
Can someone explain to me how to do this? I just don't get it.
Maksim231197 [3]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
An airplane is flying from New York City to Los Angeles the distance it travels in Miles D is related to the time in seconds T b
tatiyna

Answer:

It takes 85 seconds to go 12.75 miles

Step-by-step explanation:

We are given

An airplane is flying from New York City to Los Angeles

the distance it travels in Miles D is related to the time in seconds T by the equation

d=0.15T

we are given to find time when distance is 12.75 miles

so, we can set d=12.75

and then we can solve for T

12.75=0.15T

We can divide both sides by 0.15

T=\frac{12.75}{0.15}

T=85

So,

It takes 85 seconds to go 12.75 miles

6 0
3 years ago
Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.
lara31 [8.8K]
The answer is 12
{13}^{2}  =  {5}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {13}^{2}  -  {5}^{2}  \\ b {}^{2}  = 169 - 25 = 144
b =  \sqrt{144}  = 12


good luck
8 0
3 years ago
I don't understand this.
sladkih [1.3K]
You mean the word or number
7 0
3 years ago
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