The continuous random variable T denotes the time in hours that employees devote on overtime. The cumulative distribution function of T is F(t): t<0, ¹ (21³-14), 0≤t≤ 1.5, t> 1.5.

MATLAB: An Introduction with Applications
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Question 2
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)
CONFIDENTIAL
(d)
Show that m=
(e)
16
27
F(t)
Find E(T).
=
Find the proportion of employees who devote more than 1 hour on overtime.
t<0,
(21³-14), 0≤t≤ 1.5,
t> 1.5.
- 3-
Find the probability density function f(t) of T.
CONFIDENTIAL
MAT 161
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:Question 2 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) CONFIDENTIAL (d) Show that m= (e) 16 27 F(t) Find E(T). = Find the proportion of employees who devote more than 1 hour on overtime. t<0, (21³-14), 0≤t≤ 1.5, t> 1.5. - 3- Find the probability density function f(t) of T. CONFIDENTIAL MAT 161 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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