The length of time (in days) required to complete a certain task is a random variable t with probability density function defined by f(t) = e- for t in [0, ∞0) 2 (a) Determine the mean of the distribution. f(t) (b) Determine the standard deviation of the distribution. (c) Find the probability (not percentage) that the time required to complete a certain task is no more than 6 days. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time required to complete a certain task is between the mean and one standard deviation above the mean. Round your answer to four decimal places as needed.
The length of time (in days) required to complete a certain task is a random variable t with probability density function defined by f(t) = e- for t in [0, ∞0) 2 (a) Determine the mean of the distribution. f(t) (b) Determine the standard deviation of the distribution. (c) Find the probability (not percentage) that the time required to complete a certain task is no more than 6 days. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time required to complete a certain task is between the mean and one standard deviation above the mean. Round your answer to four decimal places as needed.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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![The length of time (in days) required to complete a certain task is a random variable t with probability
density function defined by
f(t)
=
e-
for t in [0, ∞0)
2
(a) Determine the mean of the distribution.
f(t)
(b) Determine the standard deviation of the distribution.
(c) Find the probability (not percentage) that the time required to complete a certain task is no more than
6 days. Round your answer to four decimal places as needed.
(d) Find the probability (not percentage) that the time required to complete a certain task is between the
mean and one standard deviation above the mean. Round your answer to four decimal places as needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce1b0819-6d0b-4ec9-bc84-75e332c4c14b%2Fdb759594-7f7d-4b86-9ebc-6a31d0835545%2F5sl37f_processed.png&w=3840&q=75)
Transcribed Image Text:The length of time (in days) required to complete a certain task is a random variable t with probability
density function defined by
f(t)
=
e-
for t in [0, ∞0)
2
(a) Determine the mean of the distribution.
f(t)
(b) Determine the standard deviation of the distribution.
(c) Find the probability (not percentage) that the time required to complete a certain task is no more than
6 days. Round your answer to four decimal places as needed.
(d) Find the probability (not percentage) that the time required to complete a certain task is between the
mean and one standard deviation above the mean. Round your answer to four decimal places as needed.
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