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In: Statistics and Probability

The continuous random variable X has the following distribution: pX[x] = kx√(1 + 2x) (Hint: There...

The continuous random variable X has the following distribution: pX[x] = kx√(1 + 2x) (Hint: There is 1 + 2x in the square root.) for 1 ≤ x ≤ 4.

1-Determine k.

2-Determine the CDF of X.

3-Determine the mean of X.

4-Calculate P(0.2 < X < 0.5) only by using CDF of X.

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