Sue is an 80% free throw shooter, that is the probability she makes a free throw

Question

Sue is an 80% free throw shooter, that is the probability she makes a free throw is 0.80. What is the probability that she missed 3 free throws before she makes one. geometric distrobution.

An IRS examiner has a file of 30 tax returns. Unknown to him 5 of the returns have errors. Suppose he chooses 5 files to examine without replacement. What is the probability all of them have errors?

A grocery store has 10 checkout lanes. During a busy hour the probability that any given land is occupied with at least one customer is 0.75. Assuming lanes are independent, what is the probability a customer finds at least one lane open? Round your answer to 4 decimals.

A grocery store has 10 checkout lanes. During a busy hour the probability that any given land is occupied with at least one customer is 0.75. Assuming lanes are independent, what is the probability a customer finds at least one lane open? Round your answer to 4 decimals.

Explanation / Answer

a.

P(k,r)=C(k+r-1,k)p^k(1-p)^r

Therefore, k(success)=1 and r (failure)=3 is as follows:

C(3,1)0.80^1(0.20)^3=0.0192

b.

Probability of all of them to be erroneous is 5/30=0.1667

c.

part of the question is beyond margin and not readable.

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