Sparkle Cola, Inc., manufactures a cola drink. The cola is sold in 12 oz. bottles. The probability distribution associated with the random variable whose outcome represents the actual quantity of soda place in a bottle of Sparkle Cola by the soda bottling line is specified to beIn order to be considered full, a bottle must contain within .25 oz. of 12 oz. of soda. 

a. Define a random variable whose outcome indicates whether or not a bottle is considered full.

b. What is the range of this random variable?

c. Define a PDF for the random variable. Use it to assign probability to the event that a bottle is "considered full."

d. The PDF f(x) is only an approximation. Why?

Transcribed Image Text:

f(x)=50[e-100(12-x) I (-0.12] (x) + e-100(x-12) I(12,00)(x)].