Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a ralse and the percentage who got one. According to the survey, ofselected at random from the survey population of men, findthe men interviewed, 24% had asked for a raise and 65% of the men who had asked for a raise received the raise. If a manthe following probabilities. (Enter your answers to three decimal places.)(a) P(man asked for a raise)(b) P(man received raise, given he asked for one)(c) P(man asked for raise and received raise)Us O9I 8:55hp&backspac@#3%$4234tyirkhm

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a ralse and the percentage who got one. According to the survey, of
selected at random from the survey population of men, find
the men interviewed, 24% had asked for a raise and 65% of the men who had asked for a raise received the raise. If a man
the following probabilities. (Enter your answers to three decimal places.)
(a) P(man asked for a raise)
(b) P(man received raise, given he asked for one)
(c) P(man asked for raise and received raise)
Us O9I 8:55
hp
&
backspac
@
#3
%$4
2
3
4
t
y
ir
k
h
m

Expert Solution

Step 1

(a)

From the given information, the men interviewed 24% had asked for a raise.

The probability of man asked for a raise is,

$\begin{array}{rcl} P (man asked for a raise) & = & \frac{24}{100} \\ = & 0.24 \end{array}$

Thus, the probability of man asked for a raise is 0.24.

(b)

The probability of man received raise, given he asked for one is,

$\begin{array}{rcl} P (man received raise, g i v e n he asked for one) & = & \frac{65}{100} \\ = & 0.65 \end{array}$

Thus, the probability of man received raise, given he asked for one is 0.65.

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