1.Consider the survival times given in: 4, 20, 22, 25, 38, 38, 40, 44, 56, 83, 89, 98, 110, 138, 145, and 27.

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1.Consider the survival times given in: 4, 20, 22, 25, 38, 38, 40, 44, 56, 83, 89, 98, 110, 138,

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. Assuming that theyfollow the one-parameter exponential distribution, obtain:

(a) The MLE of λ

(b) The MLE of μ

(c) The 95% confidence intervals for λ and μ

2 Assumingthat the correct entries between errors in 73, 12, 40, 65, 100, 15, 70, 40, 110, 64, 200, 6, 90, 102, 20, 102, 90, 34follow the two-parameter exponential distribution obtain:

(a) An estimate of G

(b) The MLE of λ

(c) The MLE of μ

(d) The probability of 100 correct entries between two errors

3 Consider the survival data in Exercise 8.5. Obtain the MLE of the parameter(s) and mean survival times, assuming:

(a) A one-parameter exponential distribution

(b) A Waybill distribution