3.1 Find expressions for EX and Var X if X is a random variable with the general discrete uniform(No, N1) distribution that puts equal probability on each of the values No, No+ 1,..., N1. Here No < N1 and both are integers.

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Other moments can be calculated similarly.
3.7 Exercises
3.1 Find expressions for EX and Var X if X is a random variable with the general discrete
uniform(No, N1) distribution that puts equal probability on each of the values No, No+
1,..., N1. Here No < N1 and both are integers.
3.2 A manufacturer receives a lot of 100 parts from a vendor. The lot will be unacceptable if
more than five of the parts are defective. The manufacturer is going to select randomly
K parts from the lot for inspection and the lot will be accepted if no defective parts
are found in the sample.
(a) How large does K have to be to ensure that the probability that the manufacturer
accepts an unacceptable lot is less than .10?
(b) Suppose the manufacturer decides to accept the lot if there is at most one defective
in the sample. How large does K have to be to ensure that the probability that
the manufacturer accepts an unacceptable lot is less than .10?
3.3 The flow of traffic at certain street corners can sometimes he
Transcribed Image Text:Other moments can be calculated similarly. 3.7 Exercises 3.1 Find expressions for EX and Var X if X is a random variable with the general discrete uniform(No, N1) distribution that puts equal probability on each of the values No, No+ 1,..., N1. Here No < N1 and both are integers. 3.2 A manufacturer receives a lot of 100 parts from a vendor. The lot will be unacceptable if more than five of the parts are defective. The manufacturer is going to select randomly K parts from the lot for inspection and the lot will be accepted if no defective parts are found in the sample. (a) How large does K have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less than .10? (b) Suppose the manufacturer decides to accept the lot if there is at most one defective in the sample. How large does K have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less than .10? 3.3 The flow of traffic at certain street corners can sometimes he
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