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2) You are told that 90% of homes donate to your charitable cause. You have 46 t

ID: 3336491 • Letter: 2

Question

2) You are told that 90% of homes donate to your charitable cause. You have 46 tax receipts left and plan on canvasing a neighborhood having 50 homes (assume that each home making a donation will want a tax receipt). a) What is the expected number of homes in this neighborhood who will make a donation? b) What is the probability that you will not run out of receipts before finishing canvasing the neighborhood? c) What is the probability that you will have receipts left over when you finish canvasing the neighborhood?

Explanation / Answer

Ans:

Binomial distribution with n=50,p=0.9

a)Mean=np=50*0.9=45

b)P(x<=46)=BINOMDIST(46,50,0.9,TRUE)=0.7497

c)P(x<46)=P(x<=45)=BINOMDIST(45,50,0.9,TRUE)=0.5688

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