clude four decimal places.) ote: This is a challenging problem. а. Р(X > 5) - || b. Р(X < 3) - %D c. P(X > 7| X > 5) =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Problem Set on Exponential Distribution**

Suppose \( X \sim Exp(0.25) \). Determine the following probabilities. (Include four decimal places.)

**Note:** This is a challenging problem.

a. \( P(X > 5) = \) [Input Box]

b. \( P(X < 3) = \) [Input Box]

c. \( P(X > 7 \mid X > 5) = \) [Input Box]
Transcribed Image Text:**Problem Set on Exponential Distribution** Suppose \( X \sim Exp(0.25) \). Determine the following probabilities. (Include four decimal places.) **Note:** This is a challenging problem. a. \( P(X > 5) = \) [Input Box] b. \( P(X < 3) = \) [Input Box] c. \( P(X > 7 \mid X > 5) = \) [Input Box]
Suppose \( X \sim U(2, 7) \). Determine \( P(X > 6 \mid X > 5) \).

**Note:** This is a very challenging problem.
Transcribed Image Text:Suppose \( X \sim U(2, 7) \). Determine \( P(X > 6 \mid X > 5) \). **Note:** This is a very challenging problem.
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