In: Statistics and Probability
Let X equal the number of bad records in each 100 feet of a used computer tape. Assume that X has a Poisson distribution with mean 2. Let W denote the number of feet before for the first bad record is found. Let Z denote the number of feet before for the second bad record is found. Let Y be the number of bad records in 50 feet.
(a) What is P(2 ≤ Y ≤ 4) ?
(b) What is the p.d.f. of W ?
(c) What is the p.d.f. of X ?
(d) Find P(W ≤ 50).
(e) Find P(50 ≤ Z ≤ 150).