Is it unusual to have all eight adults with high blood pressure? Briefly explain

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Is it unusual to have all eight adults with high blood pressure? Briefly explain your answer giving supporting numerical evidence. (Hint: 2 Sigma Rule)

5. According to a recent study, 29% of adults have high blood pressure. 8 adults are randomly selected and then each is tested to see if she or he has high blood pressure. Use this situation to answer the parts below. (a) Recognizing that this is a binomial situation, give the meaning S and F in this context. That is, define what you will classify as a "success" and what you will classify as a "failure" when one adult is selected and tested for high blood pressure. S = F = (b) Next, give the values of n, p, and q. n = p = q = (c) Construct the complete binomial probability distribution for this situation in a table out to the right. (d) Using your table, find the probability that exactly four of eight randomly selected adults have high blood pressure. (e) Find the probability that at least two of the eight have high blood pressure. (f) Find the probability that less than two have high blood pressure. (g) Find the mean and standard deviation of this binomial probability distribution.   (h) By writing a sentence, interpret the meaning of the mean value found in (g) as tied to the context of adults with high blood pressure. (i)

Is it unusual to have all eight adults with high blood pressure? Briefly explain your answer giving supporting numerical evidence. (Hint: 2 Sigma Rule)

x P(x)

Explanation / Answer

a. Success: Adult have high blood pressure.

Failure: Adult do not have high blood pressure.

b. Here n=8, p=0.29 and q=1-0.29=0.71

c.

d. P(x=4)= 0.1258

x P(x) 0 0.0646 1 0.211 2 0.3017 3 0.2464 4 0.1258 5 0.0411 6 0.0084 7 0.001 8 0 1

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