A service engineer receives on average an emergency call every 3 hours. If the time between calls follows an exponential distribution, calculate the probability that the time from one emergency call to the next is (a) greater than 3 hours (b) less than 4.5 hours

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. A service engineer receives on average an emergency the m_ne l_)elween breakdowns forparticular call every 3 hours. If the time between calls follows machine is an exponential distribution, calculate the probability (a) greater than 450 hours that the time from one emergency call to the next is (b) less than 350 hours (a) greater than 3 hours . (b) less than 4.5 hours The mean time taken by an engineer to repair an electrical fault in a system is 2.7 hours. Calculate the . The mean time between breakdowns for a certain type probability that the engineer will repair a fault in less of machine is 400 hours. Calculate the probability that than the mean time.
EXERCISES 29.13
the time between breakdowns for a particular
1 A service engineer receives on average an emergency
call every 3 hours. If the time between calls follows
an exponential distribution, calculate the probability
that the time from one emergency call to the next is
machine is
(a) greater than 450 hours
(b) less than 350 hours
(a) greater than 3 hours
3 The mean time taken by an engineer to repair an
(b) less than 4.5 hours
electrical fault in a system is 2.7 hours. Calculate the
probability that the engineer will repair a fault in less
than the mean time.
2 The mean time between breakdowns for a certain type
of machine is 400 hours. Calculate the probability that
Transcribed Image Text:EXERCISES 29.13 the time between breakdowns for a particular 1 A service engineer receives on average an emergency call every 3 hours. If the time between calls follows an exponential distribution, calculate the probability that the time from one emergency call to the next is machine is (a) greater than 450 hours (b) less than 350 hours (a) greater than 3 hours 3 The mean time taken by an engineer to repair an (b) less than 4.5 hours electrical fault in a system is 2.7 hours. Calculate the probability that the engineer will repair a fault in less than the mean time. 2 The mean time between breakdowns for a certain type of machine is 400 hours. Calculate the probability that
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