Question

In: Statistics and Probability

An undergraduate business student has purchased a laptop computer for use during exams. This laptop is...

An undergraduate business student has purchased a laptop computer for use during exams. This laptop 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 wear out in five hours, with a standard deviation of 30 minutes. Assuming that a new battery has just been installed, what is the probability that the battery will perform reliably during a one-hour exam?

Solutions

Expert Solution

answer:

given data,

  • probability of failure of microchip =1/20 and ,
  • probability of failure of microchip =1/10 and ,
  • probability of failure of battery= 1/30,

to find the probability of the  battery will perform to reliably during the  one-hour of the exam is ....?

the probability is shown in the below step by step,

here we are know as the values is already

now the probability is,

the battery perform  probability in 1 hour is

its the probability is write as the

1/20+1/10 + 1/30

0.05+0.10+0.0333333

0.183333

therefore 0.183333

so finally the probability is 0.0833

0.0833

orchestra answered 1 year ago
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