The probability density function of X, the lifetime of a certain type of device (measured in months), is given by Find the following: P(X > 34) = The cumulative distribution function of X: if x 25 F(x) = if x 25 f(x) = if x ≤25 25 if x > 25
The probability density function of X, the lifetime of a certain type of device (measured in months), is given by Find the following: P(X > 34) = The cumulative distribution function of X: if x 25 F(x) = if x 25 f(x) = if x ≤25 25 if x > 25
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.CR: Chapter 13 Review
Problem 24CR
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![The probability density function of X, the lifetime of a certain type of device (measured in months), is given by
Find the following: P(X > 34) =
The cumulative distribution function of X:
F(x) =
{8
if x 25
if x 25
if x 25
f(x) =
25
if x 25
x2
The probability that at least one out of 6 devices of this type will function for at least 34 months:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d69634b-8a8a-4609-8704-3bdadaefe256%2F68125287-18be-4c9c-b1b1-94e2bad07c5d%2F32yhmi8_processed.png&w=3840&q=75)
Transcribed Image Text:The probability density function of X, the lifetime of a certain type of device (measured in months), is given by
Find the following: P(X > 34) =
The cumulative distribution function of X:
F(x) =
{8
if x 25
if x 25
if x 25
f(x) =
25
if x 25
x2
The probability that at least one out of 6 devices of this type will function for at least 34 months:
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