1. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 95 percent  of the population will be between:

3. A family of four spends an average of $1000 per month with a standard deviation of $50.  This spending follows a normal continuous distribution.  

What is the probability that a family will spend more than $1050 in a month?  (answer to 3 decimal places)

5. If two events, A and B, are mutually exclusive, then P(A or B) = P(A) + P(B) - P(A&B)

True

False

6. A coin is tossed 8 times.  It is a fair coin with 2 sides, heads and tails.  What is the probability that in 8 tosses, 7 or less will be flipped?

7. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 68 percent  of the population will be between:

Question

1. You conduct a poll comparing two candidates. In a poll of 400 people,

210 prefer candida4te A, and 190 prefer B.

1. 1. What is the point estimate for the probability that a voter will choose candidate A?
   2. What is the stdev for that point estimate?
   3. What is the 95% Confidence interval?
   4. What is the probability that candidate B loses in the actual election?
   5. If you want to shrink one STDEV error to 1%. How many people do you need to survey
2. You are considering two investment choices:

A -> 1 year CD that pays 2% for sure;

       B -> investing in SP500 with 8% expected and 20% stdev.

1. 1. If you put 50% in each of the two, what in the mean and stdev for your portfolio return?
2. 2. You want to maximize your expected return for the portfolio, as long as the stdev risk is no more than 10% per year. What is the allocation to CD and to socks? What is the mean return of the portfolio?
   3. You want to reach 17% mean return per year as a minimum. What is the least amount you need to allocate to stocks? What is the stdev of the portfolio?

3. In addition to two instruments in question 5, you also can invest in a long-term bond with 4% meanreturn and 10% stdev annually. Stock and bonds funds have a correlation of -0.4(negative 0.4).
4. 1. What is the mean return and stdev for a portfolio that is 50% in stock and 55% in bond
   2. What is the mean return and stdev for a portfolio that is 25% in stock and 25% in bond and 50% in 1 year CD?
5. 3. What is the mean return and stdev for a portfolio that is 75% in stock and 75% in bond and -50%(negative 50%, ie borrow money) in 1 year CD?

Can someone answer the below question using SPSS

Diane's Beauty Salon is currently hiring beauticians at its new location in a popular mall. Diane wants to know what commission percentage to pay the beauticians based on experience. A survey of 12 licensed beauticians was taken with the following results. Commission Years of Commission Years of Percentage (y) Experience (x) Percentage (y) Experience (x) Commission Years of Commission Years of Percentage (y) Experience (x) Percentage (y) Experience (x) 24 2 25 4 18 1 44 12 30 5 33 8 41 10 24 3 35 8 20 1 35 7 40 10 a. Find the least squares line equation. b. Calculate sum of squares due to errors. c. Test the null hypothesis that ther is no linear relationship between years of experience and perdentage of commissions paid. Use a significance level of 95% d. Find a 90% confidence interval for the slope of the regression line.

Perpetual Inventory Using LIFO

Beginning inventory, purchases, and sales data for portable game players are as follows:

The business maintains a perpetual inventory system, costing by the last-in, first-out method.

Determine the cost of merchandise sold for each sale and the inventory balance after each sale, presenting the data in the form illustrated in Exhibit 4.

Under LIFO, if units are in inventory at two different costs, enter the units with the HIGHER unit cost first in the Cost of Merchandise Sold Unit Cost column and LOWER unit cost first in the Inventory Unit Cost column.

The following information pertains to the Big Returns Fund:

For each share class, calculate (1) how much you would pay in initial commissions, (2) how much you would pay in back-end commissions if you sold after two years, (3) how much in value is lost to annual expenses over a two-year holding period. Assume you purchased $1,500 worth of shares in this fund, and that prior to reductions for management and 12b-1 fees the gross fund return was 9.00 percent each year.

1. The initial commissions for Class "A" is $____. (Round to the nearest cent.)

The back-end commission for Class "A" is $____. (Round to the nearest cent.)

The total value lost to annual fees and expenses for Class "A" over the two-year holding period is $____. (Round to the nearest cent.)

2. The initial commissions for Class "B" is $____. (Round to the nearest cent.)

The back-end commission for Class "B" is $____. (Round to the nearest cent.)

The total value lost to annual fees and expenses for Class "B" over the two-year holding period is $____. (Round to the nearest cent.)

3. The initial commissions for Class "C" is $____. (Round to the nearest cent.)

The back-end commission for Class "C" is $___. (Round to the nearest cent.)

The total value lost to annual fees and expenses for Class "C" over the two-year holding period is $____. (Round to the nearest cent.)

The CFO of Rosecurity, is planning for the company's operations next year, and he wants you to forecast the firm's additional funds needed (AFN). The firm is operating at full capacity. Data (in millions) for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year (in millions)? Last year's sales = $350, Last year's accounts payable = $40, Sales growth rate = 3%, Last year's notes payable = $50, Last year's total assets = $500, Last year's accruals = $30, Last year's profit margin = 3%, Target payout ratio = 57%

A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the α = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers?

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
_____< p < ____

An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05?

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
____< p < ____

HOW TO ANSWER IN PYTHON :

PROBLEM: Given a positive integer (call it ​N), a position​ ​in that integer (call it ​P), and a transition integer (call it ​D). Transform ​N as follows:
If the ​Pth​ digit of ​N from the right is from​ ​0 to 4, add ​D to it. Replace the ​Pth​ digit by the units digit of the sum. Then, replace all digits to the right of the ​Pth​ digit by 0.
If the ​Pth​ digit of ​N from the right is from​ ​5 to 9, subtract ​D from it. Replace the ​Pth​ digit by the leftmost digit of the absolute value of the difference. Then, replace all digits to the right of the ​Pth​ digit by 0.
nd​
Example 1: N = 7145032, P = 2, D = 8 . The 2​ digit from the right is 3; add 8 to it (3+8=11),
and replace the 3 with 1 to get 7145012. Replace the digits to the right by 0s to get 7145010. rd​
Example 2: N = 1540670, P = 3, D = 54 . The 3​ digit from the right is 6; the absolute value of 6-54 is 48; replace with the 4 to get 1540470. Replace the digits to the right with 0s to get 1540400.
INPUT: There will be 5 sets of data. Each set contains 3 positive integers: ​N, P, and ​D. N will be less than 1015 ; ​P and​ D will be valid inputs. No input will cause an output to have a leading digit of 0.
OUTPUT: Print the transformed number. The printed number may not have any spaces between the digits.