Question

Records kept by the chief dietitian at the university cafeteria over a 34-period show the following weekly consumption of milk (in gallons).

Milk 200 205 210 215 220 225 230 235 240

Weeks 3 4 6 3 4 3 5 5 1

(a) Find the average number of gallons of milk consumed per week in the cafeteria. (Round your answer to the nearest whole number.)

gal

(b) Let the random variable X denote the number of gallons of milk consumed in a week at the cafeteria. Find the probability distribution of the random variable X. (Round your answers to three decimal places.)

Milk 200 205 210 215 220 225 230 235 240

P(X = x)   

Compute E(X), the expected value of X. (Round your answer to the nearest whole number.)

E(X) = gal

Answer 1

E(X)=218.970 approximately 219 gallons

219 gallons of milk consumed per week in the cafeteria.