Normal
0
false
false
false
EN-US
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:”Table Normal”;
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:””;
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin:0cm;
mso-para-margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:10.0pt;
font-family:”Times New Roman”;
mso-ansi-language:EN-US;
mso-fareast-language:EN-US;}
table.MsoTableGrid
{mso-style-name:”Table Grid”;
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-unhide:no;
border:solid windowtext 1.0pt;
mso-border-alt:solid windowtext .5pt;
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-border-insideh:.5pt solid windowtext;
mso-border-insidev:.5pt solid windowtext;
mso-para-margin:0cm;
mso-para-margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:10.0pt;
font-family:”Times New Roman”;
mso-ansi-language:EN-US;
mso-fareast-language:EN-US;}
Week 2 Assignment
Answer the following questions using this document or Excel to show your work.
1. What is the probability of at least one head in two flips of a coin?
2. What is the meaning of mutually exclusive events?
3. The results of a survey of 800 married couples and the number of children they had is shown below.
|
Number of Children |
Probability |
|
0 |
0.050 |
|
1 |
0.125 |
|
2 |
0.600 |
|
3 |
0.150 |
|
4 |
0.050 |
|
5 |
0.025 |
If a couple is selected at random, what is the probability that the couple will have
a. Less than 4 children?
b. More than 2 children?
c. Either 2 or 3 children?
4. A government agency has 6,000 employees. The employees were asked whether they preferred a 4-day work week (10 hours per day), a 5-day work week (8 hours per day), or flexible hours. You are given information on the employees’ responses broken down by gender.
|
|
Male |
Female |
Total |
|
4 days |
300 |
600 |
900 |
|
5 days |
1,200 |
1,500 |
2,700 |
|
Flexible |
300 |
2,100 |
2,400 |
|
Total |
1,800 |
4,200 |
6,000 |
a. What is the probability that a randomly-selected employee is a man and is in favor of a 4-day work week?
b. What is the probability that a randomly-selected employee is female?
c. A randomly-selected employee turns out to be female. Compute the probability that she is in favor of flexible hours.
d. What percentage of employees is in favor of a 5-day work week?
e. Given that a person is in favor of flexible time, what is the probability that the person is female?
f. What percentage of employees is male and in favor of a 5-day work week?