2. DETAILS PREVIOUS ANSWERS 1. 1. The amount, X, that Jim Jack overestimates his game playing reflex proficiency has the following probability density function: f(x)= 2-2 for 3 sxs 6 and 0 otherwise. 57 a) What is the probability that X > 4? b) What is the probability that X < 4? c) What is the probability that 3.1 < x < 4.7? d) What is the expected value of X (E(X))? e) What is the expected value of X - 2? | f) What is the expected value of 5X? g) What is the expected value of x2? [ h) What is the probability that X is greater than its expected value? i) What is the expected value of x-2X-1 ? [ j) What is the 60th percentile of X? k) What is the probability that X is within 0.3 of its expected value? I) What is the probability that X = 4?