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A failure of an engine control unit causes it to fail an average of 0.1 times...

A failure of an engine control unit causes it to fail an average of 0.1 times per day. The number of failures is poisson distributed.

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What is the probability that the unit will fail within one week of the previous failure? Round your answer to 4 decimal places. 
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Answer #1

Ans:

Given that

Lambda=0.1 per day

=0.7 per week

P(T<=t)=1-exp(-0.7t)

(t is in weeks)

P(T<1 week)=1-exp(-0.7*1)=0.5034

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