Probability and Statistics Concepts, Exams of Nursing

Various concepts in probability and statistics, including uniform distributions, cumulative probability distributions, seed values, and random number generation. It also discusses decision variables, binary variables, and integer programming problems.

Typology: Exams

2023/2024

Available from 09/27/2024

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Question 1
5 out of 5 points
In a 0-1 integer programming problem involving a capital
budgeting application (where xj = 1, if project
j
is selected, xj =
0, otherwise) the constraint x1 x2
0 implies that if project 2 is
selected, project 1 cannot be selected.
Answer
Selected
Answer:
Correct
Answer:
Fals
e
Fals
e
Question 2
5 out of 5 points
Adjusted exponential smoothing is an exponential smoothing
forecast adjusted for seasonality.
Answer
Selected
Answer:
Correct
Answer:
Fals
e
Fals
e
Question 3
5 out of 5 points
A cycle is an up and down movement in demand that repeats
itself in less than 1 year.
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- Question 1 5 out of 5 points

In a 0-1 integer programming problem involving a capital budgeting application (where xj = 1, if project j is selected, xj = 0, otherwise) the constraint x1 – x2 ≤ 0 implies that if project 2 is selected, project 1 cannot be selected.

Answer

Selected Answer:

Correct Answer:

Fals e

Fals e

- Question 2 5 out of 5 points

Adjusted exponential smoothing is an exponential smoothing forecast adjusted for seasonality.

Answer

Selected Answer:

Correct Answer:

Fals e

Fals e

- Question 3 5 out of 5 points

A cycle is an up and down movement in demand that repeats itself in less than 1 year.

Answer

Selected Answer:

Correct Answer:

Fals e

Fals e

Answer

Selected Answer:

Correct Answer:

Tru e

Tru e

- Question 7

5 out of 5 points

A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

The conservative (maximin) strategy is:

Answer

Selected Answer:

Leas e

Correct Answer:

Leas e

- Question 8 5 out of 5 points

Events that cannot occur at the same time in any trial of an experiment are:

Answer

Selected Answer:

- Question 9

5 out of 5 points

A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

If the probability of brisk business is .40 and for slow business is. 60, the expected value of perfect information is:

Answer

Selected Answer: 12

Correct Answer: 12

- Question 10 5 out of 5 points

In linear programming problems, multiple optimal solutions occur

Answer

Selected Answer:

when the objective function is parallel to a constraint line

Correct Answer:

when the objective function is parallel to a

Max Z = 85B + 75M

Correct Answer:

Max Z = 85B +

75M

- Question 13 5 out of 5 points

Steinmetz furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $100 and requires 100 cubic feet of storage space, and each medium shelf costs

$50 and requires 80 cubic feet of storage space. The company has $25000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $85 and for each medium shelf is $75. What is the storage space constraint?

Answer

Selected Answer:

100B + 80M ≤

Correct Answer:

100B + 80M ≤

- Question 14 5 out of 5 points

The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for

Correct Answer:

- Question 15 5 out of 5 points

The following is an Excel “Answer” and “Sensitivity” reports of a linear programming problem:

The Answer Report:

The Sensitivity Report:

Which additional resources would you recommend to be increased?

Answer

Selected Answer: kil n

Correct Answer:

kil n

- Question 16

5 out of 5 points

In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of

$15, $47.25, and $110, respectively. The investor has up to

$50,000 to invest. The investor stipulates that stock 1 must not

account for more than 35% of the number of shares purchased. Which constraint is correct?

Answer

Selected Answer: X1 ≤ 0.35(X1 + X

  • X3)

Correct Answer:

X1 ≤ 0.35(X1 + X

+ X3)

- Question 18 5 out of 5 points

If we are solving a 0-1 integer programming problem, the constraint x 1 = x 2 is a constraint.

Answer

Selected Answer:

Correct Answer:

corequisi te

corequisi te

Selected Answer:

x1 + x5 ≤ 1, x2 + x5 ≤ 1

Correct Answer:

x1 + x5 ≤ 1, x2 + x5 ≤ 1

- Question 20 5 out of 5 points

A professor needs help from 3 student helpers to complete 4 tasks. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below.

Which of the following constraints represents the assignment for student A?

Answer

Selected Answer: XA1 +XA2 + XA3 + XA = 1

CorrectAnswer:

XA1 +XA2 + XA3 + XA

- Question 21

0 out of 5 points