Eight percent of people in a city eligible to donate blood actually do. You rand

Question

Eight percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts (a) through (d) below. (a) Find the mean of the binomial distribution mu = (Round to the nearest hundredth as needed) (b) Find the variance of the binomial distribution (Round to the nearest hundredth as needed) (c) Find the standard deviation of the binomial distribution sigma = (Round to the nearest hundredth as needed) (d) Interpret the results in the context of the real-life situation On average. eligible adult(s) out of every 4 gives blood. The standard deviation is so in most samples of four eligible adults, the number of adults who donate blood would differ from the average number by no more than (Type integers or decimals rounded to the nearest hundredth as needed)

Explanation / Answer

here n = 4 , p = 0.08

a) mean = n*p = 4 *0.08 = 0.32

b) Variance = npq = 4 *0.08 *0.92 = 0.2944

c) sd = sqrt(npq) = 0.5425863

d) on average 0.32 people out of 4 gives blood

the sd is 0.5425863

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