Mathematics Homework Solutions

Jim is considering pursuing an MS in Information Systems degree. Normal distribution problems.

Problem 3 Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will be accepted at one and only one university? Problem 5 T ...continues

Expected Values, Negative Binomials and Maclaurin Series

Consider the experiment of observing a sequence of Bernoulli trials until exactly r successes occur. Let the r.v. X denote the number of trials needed to observe the rth success. The r.v. X is known as the negative binomial r.v. with parameter p, where p is the probability of a success at each trial. The pmf of the negative b ...continues

Employees in the textile industry can be segmented as follows.

4. Employees in the textile industry can be segmented as follows Employees Number Female and union 12,000 Female and nonunion 25,000 Male and union 21,000 Male and nonunion 42,000 a. Determine the probability of each event in this distribution. b. Are the events in this distribution mutually exclusive? Expl ...continues

The Evergreen Fertilizer Company produces fertilizer.

4. The Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.15. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company. 10. If the maximum operating capacity of the Evergreen Ferti ...continues

Sales Equation, Correlation Coefficient and Coefficient of Determination

Problem 24 Consider the following annual sales data for 1996-2003, use the linear regression method and a. determine the estimated sales equation. b. determine the correlation coefficient and the coefficient of determination. Year .....Sales 1996 ........2 1997 ........4 1998 ........10 1999 ........8 2000 ........14 ...continues

Mathematical Finance Practice Questions

Fourteen Multiple Choice Mathematical Finance Questions. See Attached.

Weighted and Moving Averages, Forecasting, Smoothing, Linear Regression and Correlation

Please see the attached file for the fully formatted problems. 2. The manger of the Carpet City outlet needs to make an accurate forecast of the demand of Soft Shag carpet (its biggest seller). If the manger does not order enough carpet from the carpet mill, customer will their carpet from one of Carpet City’s many competitor ...continues

United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills.

14. United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different production capacity (in tons per day) for each grade as follows: Mill Aluminum Grade 1 2 High ...continues

Counting and Combinations

problem 1) How many bits does 10^100 (ten power one hundred) have if written in base 2? problem 2) Find the number of all 20-digit integers in which NO two consecutive digits are the same Please explain to me the steps, don't just give me the answer, thank you very much.

Combinatorics - What is the number of ways to color n objects with 3 colors if every color must be used at least once?

problem1) What is the number of ways to color n objects with 3 colors if every color must be used at least once? problem2) prove that for any three sets A,B,C ; ((AB) U (BA))^ C = ((A^C) U (B^C)) (A^B^C) ^ means intersection Please explain the steps, help me under ...continues

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