In: Statistics and Probability
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.