Records kept by the chief dietitian at the university cafeteria over a 26-period show the following weekly consumption of milk (in gallons). Milk   200     205     210     215     220     225     230     235     240   Weeks  3 2 6 5 2 3 2 2 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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 5E
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Records kept by the chief dietitian at the university cafeteria over a 26-period show the following weekly consumption of milk (in gallons).

Milk   200     205     210     215     220     225     230     235     240  
Weeks  3 2 6 5 2 3 2 2 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
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