Question
Question In a randomly chosen lot of 1000 bolts, let X be the number that fail to meet a length specification, and let Y be
Question
In a randomly chosen lot of 1000 bolts, let X be the number that fail
to meet a length specification, and let Y be the number that fail to meet a diameter specification. Assume that the joint probability density function of X and Y is given in the following table
X/Y 0 1 2 Px(.)
0 0.40 0.12 0.08 0.60
1 0.15 0.08 0.03 0.26
2 0.10 0.03 0.01 0.14
Py(.) 0.65 0. 23 0. 12 1
(a) Find P(X=0, Y=2)
(b) Find P(X>0, Y<=1)
(c) P(X<=1)
(d) P(Y>0)
(e) Find the probability that all bolts in the lot meet the length specification.
(f) Find the probability that all bolts in the lot meet the diameter specification.
(g) Find the probability that all bolts in the lot meet both specifications
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