The continuous random variable T denotes the time in hours that employees devote on overtime. The cumulative distribution function of T is (a) (b) (c) (d) (e) Show that m= 16 27 0, t<0, m (213-14), 0≤t≤ 1.5, 1, t> 1.5. Find E(T). F(t) = m Find the proportion of employees who devote more than 1 hour on overtime. Find the probability density function f(t) of T. 11 An employee is chosen at random. Calculate the probability that the employee devoted more than 1 hour on overtime, given that the employee devoted more than the mean amount of time on overtime.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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The continuous random variable T denotes the time in hours that employees devote
on overtime. The cumulative distribution function of T is
(a)
(b)
(c)
(d)
(e)
Show that m=
16
27
0,
t<0,
m (213-14), 0≤t≤ 1.5,
t> 1.5.
Find E(T).
F(t) = m
1,
Find the proportion of employees who devote more than 1 hour on overtime.
Find the probability density function f(t) of T.
11
An employee is chosen at random. Calculate the probability that the employee
devoted more than 1 hour on overtime, given that the employee devoted more
than the mean amount of time on overtime.
Transcribed Image Text:The continuous random variable T denotes the time in hours that employees devote on overtime. The cumulative distribution function of T is (a) (b) (c) (d) (e) Show that m= 16 27 0, t<0, m (213-14), 0≤t≤ 1.5, t> 1.5. Find E(T). F(t) = m 1, Find the proportion of employees who devote more than 1 hour on overtime. Find the probability density function f(t) of T. 11 An employee is chosen at random. Calculate the probability that the employee devoted more than 1 hour on overtime, given that the employee devoted more than the mean amount of time on overtime.
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