Answered: et X be the number of litres of milk…

et X be the number of litres of milk shake that is requested at a café on a hot summer day. Assume that ??(??) = 12??(1000−??)2 1012 , 0

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

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Question

Let X be the number of litres of milk shake that is requested at a café on a hot summer day.
Assume that ??(??) = 12??(1000−??)2
1012 , 0<x<1000, zero elsewhere, is the pdf of x. How
many litres of milk shake should the store have ready on each of these days, so that the
probability of exhausting its supply on a particular day is 0.05?

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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