Week 4 Homework (Graded Assignment)-Lauren LaTour 24. Thirteen percent of people

Question

Week 4 Homework (Graded Assignment)-Lauren LaTour 24. Thirteen percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and Page 10 of 12 ask them if they donate blood. Complete parts (a) through (d) below. (a) Find the mean of the binomial distribution. (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. (Round to the nearest hundredth as needed.) (d) Interpret the results in the context of the real-life situation. so in eligible adult(s) out of every 4 gives blood. The standard deviation is On average 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

p=13%=0.13

n=4

p=probability of success

Mean=np=4*0.13=0.52

Variance=npq

=4*0.13*(1-0.13)

=0.4524

variance=0.45(nearest hundredth

Standard deviation =sqrt(variance)

=sqrt(0.4524)

=0.6726

standard deviation =0.67(nearest hundredth)

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