Assignment:
Three hundred identical cathode ray tubes (CRTs) placed into service simultaneously on January 1, 1976, experienced the following numbers of failures through December 31, 1988:
|
Year
|
1983
|
1984
|
1985
|
1986
|
1987
|
1988
|
|
Number of failures
|
13
|
19
|
16
|
34
|
21
|
38
|
Assume that there were no failures before 1983.
a. Based on these data, estimate the cumulative distribution function (CDF) of a CRT chosen at random. Using the results of part (a), estimate the probability that a CRT chosen at random
b. Lasts more than 5 years.
c. Lasts more than 10 years.
d. Lasts more than 12 years.
e. That has survived for 10 years fails in the 11th year of operation.
Provide complete and step by step solution for the question and show calculations and use formulas.