A certain type of coating for pipes is designed to resist corrosion. Five hundred pieces of coated pipe were placed on test and subjected to a 90% solution of hydrochloric acid. At the end of each hour, for a period of 5 hours, the number of pipe specimens that had resisted corrosion was recorded, as shown in the accompanying table.

a. Use the data in the table to estimate the parameters α and β of a Weibull failure time distribution.

b. Use the estimates obtained in part a to find expression for the hazard rate z(t) and the reliability R(t) of the coated pipes.

c. Find the probability that a piece of coated pipe will resist corrosion under similar experimental conditions for at least 1 hour.

Transcribed Image Text:

PIPESPEC Ноur 1 3 4 Number Resisting Corrosion 438 280 146 51 15