MyOpenMath - 4.2
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Texas A&M University, Kingsville *
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Course
1314
Subject
Industrial Engineering
Date
Apr 29, 2024
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3
Uploaded by KidStar1534
Homework: Section 4.2
Martha Janelle Casso
You can attempt each problem twice, then the answer will be shown on your third attempt.
You can attempt each problem as many times needed as long as it is before the due date.
When reattempting a problem, you will receive a similar problem, not the exact previous problem.
You can keep on working on versions of a question until you get a perfect score on the exercises.
The staff at the Math Success Center may help you on this assignment.
Question 1
10/10 pts
2
2
Question 2
10/10 pts
2
1
Question 3
10/10 pts
2
2
0
0.05
1
0.1
2
0.25
3
0.6
Find the mean of this probability distribution. Round your answer to one decimal place.
2.4
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 9 speedometers that are
correctly calibrated and two that are not. Three speedometers are randomly selected without
replacement. Let the random variable represent the number that are not correctly calibrated.
Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
0
0.5091
1
0.4364
2
0.0545
3
0
Find the mean of this probability distribution. (Appropriate rounding rules apply.)
mean = 0.5455
Question 4
10/10 pts
2
2
Question 5
10/10 pts
2
2
Question 6
10/10 pts
1-2
2
Probability
Scores
0.13
1
0.2
5
0.05
7
0.24
9
0.38
11
Find the expected value of the above random variable. 7.82
Question Help: Video
Find the mean of the following probability distribution? Round your answer to one decimal.
0
0.1373
1
0.1604
2
0.1858
3
0.3183
4
0.1982
mean = 2.3
Textbook prices have a seasonal structure on Ebay. At the end of a term, the supply of used books
outstrips demand, and the price is lower. Near the start of a term, many students are looking for books,
and the price is higher. Suppose we can classify sales for a particular chemistry textbook into these two
time periods and an "other" time period in the proportions shown below. We have also listed the average
price the textbook sells for in each of these three time periods
Start-of-term
End-of-term
Other
Sales proportion
0.45
0.31
0.24
Average price
$82.52
$49.12
$65.23
For example, about 45% of Ebay auctions for this chemistry textbook occur at the start of the term and
the books sell for an average of $82.52 during this time. Using the information above, compute the
average price of the textbook over all seasons. (Do not put a dollar sign in your answer.)
68.02
Question 7
10/10 pts
2
2
Question 8
10/10 pts
2
2
0
0.05
1
0.15
2
0.1
3
0.7
a. Find the expected value of the probability distribution. Round to two decimal places.
2.45
b. Find the standard deviation of the probability distribution. Round to two decimal places.
0.92
Probability
Scores
0.49
0
0.01
3
0.25
4
0.16
6
0.07
7
0.02
12
Find the expected value of the above random variable. 2.72
A company estimates that 0.7% of their products will fail after the original warranty period but within 2
years of the purchase, with a replacement cost of $450.
If they offer a 2-year extended warranty for $48, what is the company's expected value of each
warranty sold? Round your answer to the nearest cent.
$
44.85
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