Let X be a random variable with probability density function given by x -1 0 1 f(x) a b 0.25

Consider the probability density function 1 if x -4 + (x+4) Find the median. Select one: -3 О -5 O 1 O 0.5

ONLY NEED PART E

The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with probability density function defined by f(x): - 9.5 x 45 Find the following probabilities for the annual rainfall in a randomly selected year. Round your answers to 4 decimal places as needed. What is the probability that the annual rainfall is greater than 3 inches per year? What is the probability that the annual rainfall is less than 2 inches per year? What is the probability that the annual rainfall is between 2 and 4 inches per year?

The probability density function of a mixed random variable X is as follows: af(x) 0.20 8(x) 0.108(+) 0,085(x-1) XX a) Find the value of the constant a b) Calculate P[X s 2] 0.30 8(x-3) 3 0.15 8(x-5) 5 X

Determine the mean and variance of the random variable with the probability density function      f (x) = 1.6(1 − 0.8 x), 0 < x ≤ 1.25.