A P/OM Student Has Purchased a Four-Function Calculator for Use

Multiple Choice

A P/OM student has purchased a four-function calculator for use during exams.This calculator is perfectly reliable except for two parts: its microchip,which has a failure rate of one in every twenty hours of operation; and its battery,which has a failure rate of one in every ten hours of operation.Also,on average the battery will fail in five hours,with a standard deviation of 30 minutes.What is the probability that a new battery will fail within six hours?

A) 0.0228
B) 0.4772
C) 0.5
D) 0.9544
E) 0.9772