4. The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter 0= 4. What is the conditional probability that a repair takes at least 3 hours, given that its duration exceeds 1 hours?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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4. The time (in hours) required to repair a machine
is an exponentially distributed random variable
with parameter 0= 4. What is the conditional
probability that a repair takes at least 3 hours,
given that its duration exceeds 1 hours?
Transcribed Image Text:4. The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter 0= 4. What is the conditional probability that a repair takes at least 3 hours, given that its duration exceeds 1 hours?
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