Read
carefully before starting your exam

Log
on to this course’s canvas site, click on Modules
under course navigation menu. Then, scroll down to Exam 2, click on Exam 2.
Before you start working on any part of this exam, save the Exam-2.xlsx file as Exam-2_your full name. At the end of
the exam, submit only one Excel file. To submit your file, log on to this
course’s canvas site, click on Modules
tab. Then, click on Exam 2 and
upload your file. Keep in mind – you can submit your file only once.

1. The file name Exam-2.xlsx, sheet named Part 1 is kept blank. Use Part
1 sheet to answer this question. Put a box around your answers. For (a) and
(b), round your answers to 4 decimal places.

The Wall Street Journal
reported some interesting statistics on the job market. One statistic is that
40% of all workers say they would change jobs for “slightly higher pay.”
Suppose 20 workers are randomly selected and asked if they would change jobs
for “slightly higher pay.”

a) What
is the probability that nine or more say yes?

b) What
is the probability that exactly six say yes?

c) What
is the expected [mean] number of workers that would say they would change jobs
for slightly higher pay?

[Hint: Use binomial
distribution to answer question 1]

[7.5 + 5 + 2.5 = 15 points]

2. The file name Exam-2.xlsx, sheet named Part 2 is kept blank. Use Part
2 sheet to answer this question. Put a box around your answers. For (a),
(b), and (c), round your answers to 4 decimal places. Put a box around your
answers.

Suppose that the number of ounces of soda put into a
soft-drink can is normally distributed with mean = 12.05 ounces and standard deviation = 0.03 ounce.

(a) |
What fraction of cans will contain at least 12 ounces
of soda? |

(b) |
What fraction of cans will contain less than 11.9
ounces of soda? |

(c) |
What fraction of cans will contain between 12 and 12.08
ounces of soda? |

(d) |
One percent of all cans will weigh more than what
value? |

[5 +2. 5 + 10 + 12.5 = 30 points]

3. The file Exam-2.xlsx, sheet
named Flaws, lists the discrete distribution of
the number of flaws found in a porcelain cup produced by a manufacturing firm.
Use these data and the associated probabilities to compute the expected (mean)
number of flaws and the standard deviation of flaws.

[Note: Use
Excel to calculate the expected value and the standard deviation of flaws. Show
your work on Flaws sheet. Do not
create a new sheet or a new workbook.]

[5 + 10 = 15 points]

4.
Use Part 4 sheet to answer this question. Put a box around your answers.

A bicycle company makes two mountain
bike models that each come in three colors. The following table shows the
production volumes for last week:

Color |
|||

Model |
Blue |
Brown |
White |

XB-50 |
288 |
93 |
210 |

FL-99 |
32 |
220 |
128 |

a)
Based on the relative frequency
assessment method, what is the probability that a manufactured item is brown?
[Round your answer to 4 decimal places]

b)
What is the probability that a
product manufactured is a blue or brown? [Round your answer to 4 decimal
places]

c)
Given that a product manufactured is
white, what is the probability that item is XB-50? [Round your answer to 4
decimal places]

[2.5 + 12.5 + 10 = 25 points]

5. Use
Poisson sheet to answer this
question.

Suppose that X, the number of customers arriving
each hour at the only checkout counter in a local pharmacy, is approximately
Poisson distributed with mean = 20 customers per hour. Find the probability
that X is more than 24. Round your answer to 4 decimal places. Put a box
around your answer.

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