Question

If the prevalence of prehypertension in the US population is 30%, calculate the cumulative probability of having up to and including 5 people with prehypertension out of a random sample of 10 people.

Answer 1

Percentage of people having prehypertension in the US population = p = 30% = 0.3

Sample size = n = 10

cumulative probability of having up to and including 5 people prehypertension. So if x is the number of people having hypertension out of 10. Then, x ~ BINOMIAL(n = 10, p = 0.3)

P(x 5) = BINOMDIST(x 5; 10 ; 0.3)

Looking the value of probability in the binomial distribution table.

P(x 5) = 0.9527