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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.)

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Answer:

0.03398 or 3.398%

Step-by-step explanation:

-This is a binomial probability problem.

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

[tex]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[/tex]

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

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