An Insurance company study shows that 40% of U.S. adults have high blood pressure. Suppose 10 U.S. adults are selected at random. Let X be the number of U.S. adults (among the 10  selected) that have high blood pressure. Question 1   Find the probability that exactly 8 of the 10 U.S. adults selected have high blood pressure

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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An Insurance company study shows that 40% of U.S. adults have high blood pressure. Suppose 10 U.S. adults are selected at random. Let X be the number of U.S. adults (among the 10  selected) that have high blood pressure.

Question 1

 

Find the probability that exactly 8 of the 10 U.S. adults selected have high blood pressure.

Expert Solution
Step 1

given data P(high blood pressure) = p = 0.40sample size n  =10x = numer of adults with high blood pressureP(x=x) = nCx*px*qn-x _______binomial distribution

here binomial distribution because random (independent) sampling, probability of success remains constant and fixed number of trials.

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