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Questions › IIT JAM › IIT JAM 2024 › Q6
1 mark, −0.333Statistics › Random variables and standard distributions › Exponential and gamma distributionsModerateabout 1 min

IIT JAM 2024 Question 6: Random variables and standard distributions

Suppose a random variable XXX follows an exponential distribution with mean 505050. Then, the value of the conditional probability P(X>70∣X>60)P(X > 70 \mid X > 60)P(X>70∣X>60) is

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Suppose a random variable X follows an exponential distribution with mean 50. Then, the value of the conditional probability P(X > 70 | X > 60) is (A) e^(-7/5) (B) e^(-6/5) (C) e^(-1/5) (D) e^(-7/6)

Random variables and standard distributions has come up 173 times in 7 exams since 2005.

What this question tests

This question is on Exponential and gamma distributions, part of Random variables and standard distributions in Statistics.

Waiting times, memorylessness and sums of exponentials.

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