Question

Suppose that the probability that a person will develop hypertension over a life time is 60%. Of 13 graduating students from the same college are selected at random. find the mean number of the students who develop hypertension over a life time

Answer 1

Answer:

The mean number of the students who develop hypertension over a life time is 7.8.

Step-by-step explanation:

For each person, there are only two possible outcomes, either they will develop hypertension, or they will not. The probability of a person developing hypertension is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

Suppose that the probability that a person will develop hypertension over a life time is 60%.

This means that $p = 0.6$

13 graduating students from the same college are selected at random.

This means that $n = 13$

Find the mean number of the students who develop hypertension over a life time

$E(X) = np = 13*0.6 = 7.8$

The mean number of the students who develop hypertension over a life time is 7.8.