Section: Probabilty Density Functions **Question:** Let \( X \) be a random variable with the probability density function (pdf) given by \( f(X) = 2x \) for \( 0 \le x \le 1 \) and 0 otherwise.**a.** Find \( P(X \ge 1/2) \).**b.** Find \( P(X \ge 1/2 | X \ge 1/4) \).

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

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Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Section: Probabilty Density Functions

**Question:** Let \( X \) be a random variable with the probability density function (pdf) given by \( f(X) = 2x \) for \( 0 \le x \le 1 \) and 0 otherwise.

**a.** Find \( P(X \ge 1/2) \).

**b.** Find \( P(X \ge 1/2 | X \ge 1/4) \).

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Q: Let X be a random variable with pdf given by f (X) = 2x for 0 < x<1 and 0 otherwise. a. Find P(X > 1/2) b. Find P(X > 1/2|X > 1/4).

Section: Probabilty Density Functions