General Electric models the time X in years that a new microwave will last using the following PDF f(x)= (3x2e(−x^3/8^3))/8^3, x>0 (d) If GE agrees to replace microwaves that fail with 24 months, what proportion do you expect them to replace? (e) How long will the top 10% of microwaves last?

General Electric models the time X in years that a new microwave will last using the following PDF f(x)= (3x2e(−x^3/8^3))/8^3, x>0 (d) If GE agrees to replace microwaves that fail with 24 months, what proportion do you expect them to replace? (e) How long will the top 10% of microwaves last?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Question

General Electric models the time X in years that a new microwave will last using the following PDF

f(x)= (3x²e^{(−x^3/8^3)})/8^3, x>0

(d) If GE agrees to replace microwaves that fail with 24 months, what proportion do you expect them to replace?

(e) How long will the top 10% of microwaves last?

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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