You and your friend each choose 7 songs at random from a list of 20 distinct songs in a playlist. What is the probability that exactly 5 out of the 7 songs you picked match your friend’s?

C++ program

Reference: while loop, if....else, for loop, the % operator

MARTIAN BOOLEAN MULTIPLICATION OBJECTIVE: To compute the product of two integers using the Martian method of multiplication.

INPUT: 5 pairs of positive integers to be multiplied. To be read in one pair at a time. USE A FOR LOOP TO CONTROL THE READING OF THE INPUT

OUTPUT: Submit the following: The psuedocode or notes on how you will attack the problem Hand in the complete C++ program, properly commented Copy and paste your output screen to the bottom of your program The input numbers along with the answer (product) in a format of your choosing.

Your name must appear as the last line of output.

TEST CASES: Your program should yield the correct product for the following values. 75 40 15 999 1 1 0 0

Sturgill Manufacturing Inc. needs to predict the numbers of machines and employees required to produce its planned production for the coming year. The plant runs three shifts continuously during the workweek, for a total of 120 hours of capacity per week. The shop efficiency (the percent of total time available for production), which accounts for setups, changeovers, and maintenance, averages 70% with a standard deviation of 5%, which reduces the weekly capacity. Six key parts are produced, and the plant has three different types of machines to produce each part. The machines are not interchangeable as they each have a specific function. The time to produce each part on each machine varies. The mean time and standard deviation (in hours) to produce each part on each machine are shown below: Mean Time Part Type Machine A Machine B Machine C 1 3.5 2.6 8.9 2 3.4 2.5 8 3 1.8 3.5 12.6 4 2.4 5.8 12.5 5 4.2 4.3 28 6 4 4.3 28 The question is from following book and from Chapter 12 question 27 Textbook: James Evans, Business Analytics, 3nd edition, 2019, Pearson Education, Pearson. ISBN: 13:978-0-13-523167-8

This question set will use the following scenario that we saw on last week’s homework assignment: Scores on the Wechsler Adult Intelligence Scale- Third Edition (WAIS-III) are nationally standardized to be normally distributed with a mean of 100 and standard deviation of 15. A psychologist has a dataset containing the WAIS-III scores from a random sample of 50 adults who are members of a specific organization. They want to know if there is evidence that the mean WAIS-III score in the population of all members of this organization is greater than the known national mean of 100. In the sample of 50 adults, the observed sample mean was 105. When doing any hand calculations, show all work.

A. What is the dependent variable? [3 points]

B. Identify the sample. [3 points]

C. Have assumptions been met to conduct a single mean z test? Explain how you checked each assumption. [4 points]

D. Is this a one- or two-tailed test? Explain why.

6.         Verysmall Mutual Fund’s investment portfolio is comprised of the following: 1,000 shares of General Mills (GIS, current price is $50 per share); 3,000 shares of Bank of America Corp (BAC, current price is $30 per share); and 2,500 shares of United Airlines Holdings (UAL), current price is $90 per share). Verysmall Mutual Fund has sold a total of 15,000 of its own shares to customers. What is Verysmall Mutual Fund’s net asset value?

A.        Less than $20
B.         Between $20 and $30
C.         Between $30 and $40
D.        Between $40 and $50
E.         Over $50

7.         A no-load mutual fund:

A.        has zero operating expenses.
B.         is typically marketed directly to customers, charging no commission.
C.         is a type that no longer exists.
D.        does not invest in common stocks.
E.         has a zero or negative rate of return in the most recent year.

8.         Hedge funds differ from open-end mutual funds in the sense that ______

A.        they require a much smaller initial investment.
B.         they are open to additional investments at any time.
C.         their investors cannot sell shares back to the fund at any time they desire.
D.        they invest in very limited set of securities.
E.         they declare their investment strategies in the prospectus.

Question

a The following six sales figures (X) were randomly sampled
$28, $34, $40, $44, $52, $54, with ∑X =$252 and ∑X2 = $211,096

i Determine the median and mean. What do these suggest about the distribution of the sales data?

ii What is the standard deviation of the sales data?

iii If a frequency distribution for the sales was constructed, what would be the mid-point and frequency and relative frequency for class “Sales $30 to under $40”?

iv Estimate the 1st quartile for the sales data.

b

You have obtained a data set for 2015, that contains all the work place accidents that occurred at a state government department. The data includes: the gender of worker involved, their education level (high school only, college, university), the cause of the accident (stairs, staplers, other), the cost to the department in dollars, the day of the week, and number of stories in the building in which the accident occurred.

i Identify which variables are categorical and state whether they are nominal or ordinal.

ii Identify which variables are numerical and state whether they are discrete or continuous.

iii If you wished to use the data to predict the average cost to the department per accident for all state government departments in 2015, can the data be used for such a purpose? Why or why not? If so, how? If not, what additional data, or variables, would allow this?

iv If you wished to use the data to predict the chance of an accident occurring for Mondays in 2015 at the state government department, can the data be used for such a purpose? Why or why not? If so, how? If not, what additional data or variables, would allow this?

Given is the companies  DOL, DFL and DCL for 20XW, 20XX, 20XY and 20XZ Discuss the risks of the company.

Wholesale of electronic chips receives products from two factories, factory A provides 60%
Of the goods and Factory B supplies 40% of the goods.
From past experience it is known that 20% of the chips of plant A are defective.
It is also known that 50% of all defective chips are supplied by plant B.

A. What percentage of Factory B's chips are defective?

B. What is the probability that a chip that is found to be in good condition is supplied by plant B?
third

C. One after the other, screws supplied from Factory B are sampled. What is the span and variance of the number of chips
That they will have to check until the first invalid is found?

D. Sample 100 chips at random, what is the probability that at least 36 of them are normal chips
Provided by Factory B?