1. 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: 1983 Year Number of failures 1984 1985 1986 1987 1988 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 13.1 Reliability of a Single Component 753 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.

Practical Management Science
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1. 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:
1983
Year
Number of failures
1984
1985
1986
1987
1988
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
13.1 Reliability of a Single Component 753
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.
Transcribed Image Text:1. 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: 1983 Year Number of failures 1984 1985 1986 1987 1988 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 13.1 Reliability of a Single Component 753 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.
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