Find the number M such that, half of the time, the dairy in Exercise 16 sells M thousand gallons of milk or less.

Exercise 16

The amount of milk (in thousands of gallons) that a dairy sells each week is a random variable X with the density function f (x) = 4(x - 1)3, 1 ≤ x ≤ 2. (See Fig. 4.)

(a) What is the likelihood that the dairy will sell more than 1500 gallons?

(b) What is the average amount of milk that the dairy sells each week?

Transcribed Image Text:

4 y 2- f(x) = 4(x - 1)³ 0 X 1 2 Amount of milk sold Figure 4 Density function for sales of milk.