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 (a)  Write out the CDF and quantile formulas. (b)  What proportion of microwaves does GE anticipate will last at least 10 years? (c)  What is the median length of time until failure for a new microwave?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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

(a)  Write out the CDF and quantile formulas.

(b)  What proportion of microwaves does GE anticipate will last at least 10 years?

(c)  What is the median length of time until failure for a new microwave?

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