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The probability that a randomly selected person has high blood pressure (the event H) is p(H)=0.2 and the probability that a randomly selected is a runner (the event R) is P(R)=0.4. The probability that a randomly selected person has blood pressure and is a runner is 0.1. Find the probability that a randomly selected person is a runner, given that he has high blood pressure.

(a) 0

(b) 0.25

(c) 1

(d) 0.50

(e) 0.17

(f) None of the above

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Priyanshu Patel
Priyanshu PatelLv10
7 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

A  Compute and interpret the mean of the random variable x

B Compute the standard deviation of the random variable x.

C. What is the probability that a randomly selected student has a parent involved in three activities?

D  What is the probability that a randomly selected student has a parent involved in three or four activities?

E.

In the following probability distribution, the random variable x represents the number of activities a K to the 5th-grade student is involved in.

Complete parts (a) through (f) below.

   x           0              1               2               3               4

P(x)      0.299       0.145         0.234        0.053         0.269

(a) Verify that this a discrete probability distribution.

 

 

In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in.
 
     x      P(x) 0      0.272     10.575      20.121      30.027     40.004      50.001 
 
(a) Verify that this is a discrete probability distribution.
(b) Draw a graph of the probability distribution. Describe the shape of the distribution.
(c) Compute and interpret the mean of the random variable X.
(d) Compute the standard deviation of the random variable X.
(e) What is the probability that a randomly selected individual 15 years or older was involved in tow marriages?
(f) What is the probability that a randomly selected individual 15 years or older was involved in at least two marriges?

1. In its standardized form, the normal distribution 

(a) has a mean of 0 and a standard deviation of 1.

(b) has a mean of 1 and a variance of 0.

(c) has an area equal to 0.5.

(d) cannot be used to approximate discrete probability distributions.

 

2. For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770.

The value of Z is

(a) 0.18

(b) 0.81

(c) 1.16

(d) 1.47

 

3. For some value of z, the probability that a standard normal variable is below z is 0.2090. The value of Z is 

(a) -0.81

(b) -0.31

(c) 0.31

(d) 1.96

 

4. For some positive value of X, the probability that a standard normal variable is between 0 and +2x is 0.1255.

The value of X is 

(a)  0.99

(b) 0.40

(c) 0.32

(d) 0.16

 

5. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 35. minutes and a standard deviation of minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

(a) 0.3551

(b) 0.3085

(c) 0.2674

(d) 0.1915 

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