#4 (17 points) Bimble is in charge of her student club\'s charitable donation ca
ID: 3350580 • Letter: #
Question
#4 (17 points) Bimble is in charge of her student club's charitable donation campaign. Based on past experience, her club has found that people make an average of $4.25 donation, with a standard deviation of $2.35 (US dollars). The population distribution is found to be positively skewed, since many people tend to donate rather small change that they readily have, compared to relatively fewer people making larger contributions. Bimble has 125 people in mind that she can contact and ask for donations, and she needs to gather $500. Assuming that her contacts represent a simple random sample of those individuals who would make contributions, what is the probability that Bimble will meet or exceed her goal of $500 total donations out of the 125 people?Explanation / Answer
=4.25
=2.35
n=125
x=500/125 =4
Applying z=(x-)/(/n)
=(4-4.25)/(2.35/125)
=-0.25/0.21019
=-1.19
P(x4) = P(z-1.19)
= 1-P(z<-1.19)
=1-0.1170
=0.8830
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