Suppose that X is an exponential random variable with mean 5. (The cumulative distribution function is               F(x) = 1- e-x/5 for x >= 0, and F(x) = 0 for x < 0. (a) Compute P(X > 5).   (b) Compute P(1.4 <= X <= 4.2).   (c) Compute P(1.4 < X < 4.2).

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.
Chapter13: Probability And Calculus
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Suppose that X is an exponential random variable with mean 5. (The cumulative distribution function is               F(x) = 1- e-x/5 for x >= 0, and F(x) = 0 for x < 0.

(a) Compute P(X > 5).  

(b) Compute P(1.4 <= X <= 4.2).  

(c) Compute P(1.4 < X < 4.2). 

 

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