5. [3] The life expectancy (in years) for a particular brand of microwave oven is a continuous random variable with the probability density function below. Find d such that the probability of a randomly selected microwave oven lasting d years or less is 0.5. if x ≥ 0 f(x) = f(x) = 4 (x+4)²' 0 J otherwise

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 8E
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Page 5 of 7
5. [3] The life expectancy (in years) for a particular brand of microwave oven is a continuous
random variable with the probability density function below. Find d such that the probability of a
randomly selected microwave oven lasting d years or less is 0.5.
if x ≥ 0
f(x) = f(x):
4
(x+4)²'
0
)
otherwise
Transcribed Image Text:Page 5 of 7 5. [3] The life expectancy (in years) for a particular brand of microwave oven is a continuous random variable with the probability density function below. Find d such that the probability of a randomly selected microwave oven lasting d years or less is 0.5. if x ≥ 0 f(x) = f(x): 4 (x+4)²' 0 ) otherwise
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