Do males or females feel more tense or stressed out at work? A survey of employe
ID: 3269413 • Letter: D
Question
Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by a company on behalf of a research organization revealed the data in the contingency table shown to the right. Complete parts (a) through (d) below.
Gender Tense/Stressed at Work Not Tense/Stressed at Work Total
Male 110 285 395
Female 285 380 665
Total 395 665 1060
a. What is the probability that a randomly selected person's gender is female?
nothing
(Type an integer or a decimal. Round to three decimal places as needed.)
b. What is the probability that a randomly selected person feels tense or stressed out at work and is female?
nothing
(Type an integer or a decimal. Round to three decimal places as needed.)
c. What is the probability that a randomly selected person feels tense or stressed out at work or is female?
nothing
(Type an integer or a decimal. Round to three decimal places as needed.)
d. Explain the difference in the results in (b) and (c).
A.
The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not.
B.
The joint event in part (c) includes the possibility that just one of the two characteristics occurs.
C.
The two characteristics in part (b) are mutually exclusive, while those in part (c) are not.
Use the contingency table below to find the following probabilities.
a. A|B
b. A|B' c. A'|B'
c. A'|B'
d. Are events A and B independent?
Table_Data B B`
A 10 30
A' 30 90
a.
P(A|B)equals=nothing
(Round to two decimal places as needed.)
b.
P(A|B')equals=nothing
(Round to two decimal places as needed.)
c.
P(A'|B')equals=nothing
(Round to two decimal places as needed.)
d. Are events A and B independent?
A and B
areare
independent.
A and B
are notare not
independent.
Suppose that E and F are two events and that P(E and F)equals=0.4 and P(E)equals=0.8. What is P(F|E)?
If P (A)equals=0.3 P(B)=0.6 and P(A and B)equals=0.18 are A and B independent?
The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (104 weeks) are shown to the right.
Number_Approved Frequency
0 12
1 25
2 34
3 18
4 8
5 5
6 1
7 1
a. Compute the expected number of mortgages approved per week.
b. Compute the standard deviation.
a. The expected number of mortgages approved per week is
nothing.
(Round to three decimal places as needed.)
b. The standard deviation is
nothing.
(Round to three decimal places as needed.)
You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The information to the right about the annual return (per $1,000) of each of these investments under different economic conditions is available, along with the probability that each of these economic conditions will occur. Complete parts (a) through (c) below.
Probability Economic_Condition Corporate_Bond_Fund Common_Stock_Fund
0.01 Extreme_recession -200 -999
0.09 Recession -70 -300
0.15 Stagnation 30 -100
0.35 Slow_growth 80 100
0.30 Moderate_growth 100 150
0.10 High_growth 110 350
a. Compute the expected return for the corporate bond fund and for the common stock fund.
The expected return for the corporate bond fund is
nothing.
(Round to two decimal places as needed.)
The expected return for the common stock fund is
nothing.
(Round to two decimal places as needed.)
b. Compute the standard deviation for the corporate bond fund and for the common stock fund.
The standard deviation for the corporate bond fund is
nothing.
(Round to two decimal places as needed.)
The standard deviation for the common stock fund is
nothing.
(Round to two decimal places as needed.)
c. Would you invest in the corporate bond fund or the common stock fund? Explain.
Based on the expected value, the ____________fund should be chosen. Since the standard deviation for the common stock fund is
about the same as
more than three times greater than
less than half as much as
that for the corporate bond fund, the common stock fund
is safer than
has the same risk as
is riskier than
the corporate bond fund and an investor
should carefully weigh
doesn't need to consider
the risk when making a decision.
Determine the mean and standard deviation of the variable X in the binomial distribution where
n=4and =0.60.
Determine the mean.
=nothing
(Type an integer or a decimal.)
Determine the standard deviation.
=nothing
(Round to three decimal places as needed.)
A student is taking a multiple-choice example in which each question has two
choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place two balls (marked A and B)
into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are eight multiple-choice questions on the example. Complete parts (a) through (d) below.
a. What is the probability that she will get eight questions correct?
(Round to four decimal places as needed.)
b. What is the probability that she will get at least seven questions correct?
(Round to four decimal places as needed.)
c. What is the probability that she will get no questions correct?
(Round to four decimal places as needed.)
d. What is the probability that she will get no more than two questions correct?
(Round to four decimal places as needed.)
The following is a set of data for a population with
N=10.
3
6
11
7
12
13
13
6
7
10
a. Compute the population mean.
b. Compute the population standard deviation.
a. The population mean is
=nothing.
(Type an integer or a decimal. Do not round.)
b. The population standard deviation is
=nothing.
(Round to two decimal places as needed.)
Use the contingency table below to find the following probabilities.
Explanation / Answer
a) P(female) = 665/1060 = 0.627
b) P(feels tensed and female) = 285/1060 = 0.269
c) P(feels tenses or female) = (665+110)/1060 = 0.731
d) Option C is Correct
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