hi i got trouble solving this: For each part (a) and (b) state the appropriate d

Question

hi i got trouble solving this:
For each part (a) and (b) state the appropriate distribution usedalong with the answer.

a) The acceptance scheme for purchasing lots containing a largenumber of batteries is to test no more than 65 randomly selectedbatteries and to reject a lot if a single battery fails. Supposethat the probability of a failure is 0.001. What is the probabilitythat a lot is rejected on the 20th test?

b) First-year students at Griffin University are selected at randomand asked, one at a time, if they are willing to take part in apsychology experiment. From past surveys it is known that 20% ofstudents are willing to take part in such an experiment. What isthe probability that the second student willing to take part in theexperiment will be the ninth one asked?

Explanation / Answer

prob that they pass = 1- prob that they fail
(.999) ^19(.001)^1
b) of the first 8, 1 participates, so 8 choose1. probability that 7 say no and 1 says yes is (.2)^1(.8)^7 prob that the 9th person says yes .2
so we have 8(.2)^1(.8)^7(.2)

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