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# X is a continuous random variable with probability density function f(x) = 0.5x, 0 < x < 2.?

What is the value of the number, m, for which P(X < m) = 0.5?

a. 1.2212

b. 1.5000

c. 1.1250

d. 1.7321

e. 1.4142

Can somebody help me with this question. Thanks

### 1 Answer

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- Anonymous1 decade agoFavorite Answer
Integrate the function relative to x...

f(X) = 0.25x^2 [0 --> a]

so f(X) = 0.5 therefore

a = sqrt(2) = 1.4142 (e)

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