Question

g A random sample of 100 U.S. adults were selected from a population. In the population, the probability of having hypertension is about 24%. What is the probability that there are exact 30 people in the sample who have hypertension? (Round the result to 3 decimal places; I recommend you to use Minitab or other software. Use binomial distribution.)

Answer 1

0.03398 or 3.398%

Explanation:

-This is a binomial probability problem.

-Given p=0.24, n=100, the probability that exactly 30 people is calculated as:

`P(X=x){n\choose x}p^x(1-p)^(n-x)\\\\P(X=30)={100\choose 30}0.24^(30)(1-0.24)^(70)\\\\=0.03398`

Hence, the probability that exactly 30 people have hypertension is 0.03398