3. Suppose that X has an exponential distribution with a mean of 10. Determine the following: (a) P(X < 5) (b) P(X < 20|X > 15) (c) Compare the results in parts (a) and (b) and comment on the role of memoryless property.

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3. Suppose that X has an exponential distribution with a mean of 10. Determine the following:
(a) P(X < 5)
(b) P(X < 20|X > 15)
(c) Compare the results in parts (a) and (b) and comment on the role of memoryless property.
Transcribed Image Text:3. Suppose that X has an exponential distribution with a mean of 10. Determine the following: (a) P(X < 5) (b) P(X < 20|X > 15) (c) Compare the results in parts (a) and (b) and comment on the role of memoryless property.
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