A chemical supply company currently has in stock 100 pounds ofa certain chemical

Question

A chemical supply company currently has in stock 100 pounds ofa certain chemical, which it sells to its customers in 5-lb lots.Let x denote the number of lots ordered by a randomly selectedcustomer, and suppose x has the following probability massfunction: x:     1   2     3    4 p(x): .2   .4   .3   .1 Compute the expectednumber of pounds lef after a customer's order isshipped. A chemical supply company currently has in stock 100 pounds ofa certain chemical, which it sells to its customers in 5-lb lots.Let x denote the number of lots ordered by a randomly selectedcustomer, and suppose x has the following probability massfunction: x:     1   2     3    4 p(x): .2   .4   .3   .1 Compute the expectednumber of pounds lef after a customer's order isshipped.

Explanation / Answer

x(avg) = (1)(.2) + (2)(.4) + (3)(.3) + (4)(.1) = 2.3
multiply this number by 5 since the lots are 5 lbs each
and subtract the number from 100
that is what you will have left
I get an answer of 88.5 lbs

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