1) A lot of 30 parts is shipped to a company. A sampling plan dictates that

n parts are to be taken at random without replacement. The lot will be

accepted if no more than one of these n parts is defective. What is the

minimum value of n such that the probability of accepting the lot is at

least 80% if the lot contains 3 defective parts and the probability of

accepting the lot is less than 25% if the lot contains 9 defective parts?

2) Toss a coin until either the number of heads is 3 + the number of tails

or the number of tails is 2 + the number of heads (before the first toss

the number of heads = the number of tails = O). For each toss, the

chance to get a head is 0.6 and the chance to get a tail is 0.4. Let X

be the number of tosses. Find E(X).

3) Toss a fair coin until either the number of heads is 3 + the number of

tails or the number of tails is 4 + the number of heads (before the

first toss the number of heads = the number of tails = 0). For each

toss, the chance to get a head is 0.4 and the chance to get a tail is

0.6. Let A be the event that at the end, the number of heads is 3 +

the number of tails. Find P(A).

Final Answers:

1) n=8

2) 1265/11 (could be 1268/11 too, prof has terrible handwriting...)

3) 520/2059

Subject | Mathematics |

Due By (Pacific Time) | 11/17/2013 10:00 pm |

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