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Probability

Probability

In a survey on the quality of customer service at Car Toys, customers were asked to rate the service on a scale from 1 to 10, with 10 being that a customer was completely satisfied. Assume that the distribution of the responses can be approximated by a normal distribution with a mean of 7 and a std deviation of 1. a. What is

Review Questions

See attached Review Questions (9, 10 and 15) #'s 9 & 10 refer to the following situation. Fifteen (15) companies all bid on oil leases. The following data is a small part of the records on past bids. All monetary amounts are in millions of dollars. Leases Signals Proven Value Company 1 Company 2 $105.5 $99.5 $107.4

Probability, Linear Programming

Please see attachment. 1. Roger's Regalia is a manufacturer of caps, gowns, and assorted party outfits, primarily for the commencement season. (80 percent of their yearly sales occur over a six-week period.) One of their popular products is a Parrot Head, sometimes worn by graduating college students as a sign of festive oc

Probability and Probability Distributions

1) In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults)who have a college degree. Find the variance for the probability distribution. x P(x) 0 0.0256 1 0.1536 2 0.3456 3 0.3456 4 0.1296 2) A

You are trying to set up a portfolio that consists of a corporate bond fund and a common stock fund. Compute the covariance of the corporate bond fund and the common stock fund. Compute the portfolio expected return and portfolio risk for each of the following percentages invested in a corporate bond fund: a. 30% , b. 50%, c. 70%

You are trying to set up a portfolio that consists of a corporate bond fund and a common stock fund. the following information about the annual return (per $1,000)of each of these investments under different economic condition is available, along with probability that each of these economic conditions will occur: probability

weights of catfish are normally distributed

1. The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. What percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds? a) 84% b) 67% c) 29% d) 16% 2. The standard error of t

Probability and normal distribution : key information

1. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean? a) 0.029 b) 0.050 c) 0.091 d) 0.120 2. The owner of a fish

Rule of 68-95-99.7

I have enrolled anywhere from 7 to 10 students for the past 6 months. Please put this as an example in the rule of 68-95-99.7 (please be specific) In addition, what is the probability of me enrolling more students?

Probability Distribution

Assuming A and B are independent events, if P(A) = 0.50 and P(A and B)= 0.21, then, P(B) = 2. Assume a production process is uniformly distributed between 8 and 12 minutes; the probability of the process taking between 9 and 12 minutes is :

A certain airplane has two independent alternators to provide electrical power.

Prepare answers to the following assignments from the e-text, Applied Statistics in Business and Economics, by Doane and Seward: Chapter 5 - Chapter Exercises 5.62 and 5.70 Note: Methods of computation could include the usage of Excel, SPSS, Lotus, SAS, MINITAB, or by hand computation. 5.62 A certain airplane has tw

Probability

There are two urn, a green urn and a red urn. The green urn contains 17 green balls and the red urn contains 15 red balls.Each round, one ball is chosen randomly from either urn. The probability that the green urn on any given round is chosen is 4/7. The probability that the red urn is chosen is 3/7. What is the probabil

Probability: fax costs

Please help me with the attached questions. Please also provide the formulas used and how the numbers are plugged into the formula. Thank you. 1.) Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the averag

Marginal and Joint Probability

1. A company markets two products (Product A and Product B) through mail order. The company will market them in sequence with the first mail order offer for product A. It feels that there is a 30% chance that any customer will purchase product A. Product B is offered some months later. It is felt, for product B, that there is

Mary and John toss a coin three times

Mary Tosses a coin 3 times and john does the same. A) Find probability Mary obtains one head. I have that answer which i think is 1/33 or 33%, but do I include John's tosses also in that? b) Find the probability that Mary obtains exactly one head and so does John. Here I thought to do 1/2 times 1/2 = 1/4 is that right?

Probability: Insurance, Population, Medicare and TV Viewing

1. National Association of Insurance Commissioners The average annual cost of automobile insurance is $687 (National Association of Insurance Commissioners, January 2003). Use this value as the population mean and assume that the population standard deviation is σ = $230. Consider a sample of 45 automobile insurance polic

Nationally, 38% of fourth-graders cannot read an age-appropriate book.

9.Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most chil

Certain stocks are recommended each month by a monthly magazine.

Certain stocks are recommended each month by a monthly magazine. If 40% of the stocks recommended advance at least 20%, what is the probability that of the five stocks most recently recommended, at least three will advance at least 20%? Please explain each step.

Project Evaluation and Expected Payoff

You can invest in one of 3 projects: (payoffs modeled as discrete distributions) 1. Sell land and you make $60,000 2. Build an apartment: if things go well (probability = 0.70) and estimated payoff is $130,000, or $50,000 otherwise 3. Build a single family house: payoff $100,000 (probability = .80) and $75,000 otherwise Fi

Probability: Optimal Choice of Dice

A game is played in which one of two players chooses a dice from a set of three die. After the first player chooses, the second player chooses a dice from the remaining two that are left. Then the two role their dice simultaneously. The player that turns up the highest number wins. In this game, however, although the dice are