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Get college assignment help at uniessay writers Let X and Y be independent Bernoulli random variables with parameter 1/2. Show that X Y and ׀X-Y׀ are dependent though uncorrelated.

A study of 200 advertising firms revealed their income after taxes: Income after Taxes Number of Firms Under $1 million 102 $1 million to $20 million 61 $20 million or more 37 a. What is the probability an advertising firm selected at random has under $1 million in income after taxes?

A multiple choice quiz has 150 questions each with 5 choices and only 1 is the correct answer. What is the probability that sheer guess work yield from 30 to 40 correct answers out of the 150 questions?

Specialty Toys- Specialty Toys, Inc. sells a variety of new and innovative children’s toys. Management learned that the preholiday season is the best time to introduce a new toy, because many families use this time to look for new ideas for December holiday gifts. When Specialty discovers a new toy with good market potential, it chooses an October market entry date. In order to get toys in its stores by October, Specialty places one-time orders with its manufacturers in June or July of each year. Demand for children’s toys can be highly volatile. If a new toy catches on, a sense of shortage in the marketplace often increases the demand to high levels and large profits can be realized. However, new toys can also flop, leaving Specialty stuck with high levels of inventory that must be sold at reduced prices. The most important question the company faces is deciding how many units of a new toy should be purchased to meet anticipated sales demand. If too few are purchased, sales will be lost; if too many are purchased, profits will be reduced because of low prices realized in clearance sales. For the coming season, Specialty plans to introduce a new product called Weather Teddy. This variation of a talking teddy bear is made by a company in Taiwan. When a child presses Teddy’s hand, the bear begins to talk. A built-in barometer selects one of five responses that predict the weather conditions. The responses range from “It looks to be a very nice day! Have fun” to “I think it may rain today. Don’t forget your umbrella.” Tests with the product show that, even though it is not a perfect weather predictor, its predictions are surprisingly good. Several of Specialty’s managers claimed Teddy gave predictions of the weather that were as good as many local television weather forecasters. As with other products, Specialty faces the decision of how many Weather Teddy units to order for the upcoming holiday season. Members of the management team suggested order quantities of 15,000, 18,000, 24,000, or 28,000 units. The wide range of order quantities indicates considerable disagreement concerning the market potential. The product management team asks you for an analysis of the stock-out probabilities for various order quantities, an estimate of the profit potential, and to help make an order quantity recommendation. Specialty expects to sell Weather Teddy for $24 based on a cost of $16 per unit. If inventory remains after the holiday season, Specialty will sell all surplus inventories for $5 per unit. After reviewing the sales history of similar products, Specialty’s senior forecaster predicted an expected demand of 20,000 units with a .95 probability that demand would be between 10,000 units and 30,000 units. Management Report-Prepare a managerial report that addresses the following issues and recommends an order quantity for the Weather Teddy product. 1. Use the sales forecaster’s prediction to describe a normal probability distribution that can be used to approximate the demand distribution. Sketch the distribution and show its mean and standard deviation. 2. Compute the probability of a stock-out for the order quantities suggested by members of the management team. 3. Compute the projected profit for the order quantities suggested by the management team under three scenarios: worst case in which sales = 10,000 units, most likely case in which sales = 20,000 units and best case in which sales = 30,000 units. 4. One of Specialty’s managers felt that the profit potential was so great that the order quantity should have a 70% chance of meeting demand and only a 30% chance of any stock-outs. What quantity would be ordered under this policy, and what is the projected profit under the three sales scenarios? 5. Provide your own recommendations for an order quantity and note the associated profit projections. Provide a rationale for your recommendation.

If a population has a standard deviation σ of 25 units, what is the standard error of the mean if samples of size 16 are selected? Samples of size 36? Samples of size 100?

Identify each numerical value by “name” (e.g., mean, variance) and by symbol (e.g. μ) a. The mean height of 24 junior high school girls is 4′ 11” b. The standard deviation for IQ scores is 16. c. The variance among the test scores on last week’s exam was 190. d. The mean height of all cadets who have ever entered West Point is 69 inches.

The hypothesis for this study is that an instructor can improve a studen’ts performance (exam scores) through influencing the student’s perceived effort-reward probability. An instructor accomplishes this by assigning tasks (teaching techniques) which are a part of a student’s grade and are perceived by the student as a means of improving his or her grade in the class. The student is motivated to increase effort to complete those tasks which should also improve understanding of course material. The expected final result is improved exam scores. The null hypothesis for the study is: Teaching techniques have no significant effect on students’ exam scores. What is the instructor’s hopothesis? What is the alternative hypothesis?

A recent study indicated that 29% of the 100 women over age 55 in the study were widows. a. How large a sample must one take to be 90% confident that the estimate is within 0.05 of the true proportion of women over 55 who are widows? b. If no estimate of the sample proportion is available, how large should the sample be?

About 9% of the population is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic?

Average of 4.0 hours of television per person per day. The standard deviation of the number of hours of television watched per day is 2.1 and random sample of 250 americans is selected, the mean of this sample belongs to a sampling distribution. What is the shape of this sampling distribution?

Get college assignment help at uniessay writers A travel agency offers 4 different vacation packages to Europe. Their net profit for package 1 is $500, for package 2 it is $750, for package 3 it is $900, and for package 4 it is $1,500. From past experience they know that 20% of their customers purchase package 1, 15% of their customers purchase package 2, 40% of their customers purchase package 3 and 25% of their customers purchase package 4. Find the expected value or average profit per customer and determine how much profit they should expect if 10 people purchase one of their European vacation packages

11. (Points: 1) Exhibit 10-1 A psychologist is interested in whether hypnosis affects brain dominance. Twelve college students from the freshmen class are randomly sampled for an experiment. The experiment has two conditions which are given on different days. In condition 1, the students are hypnotized and then given a test which measures the relative dominance of the right and left hemispheres. The higher the score, the more dominant is the right hemisphere. In condition 2, the same students are given the test again, only this time they are not hypnotized but are in their normal state of consciousness. The following scores are obtained. Student 1 2 3 4 5 6 7 8 9 10 11 12 Condition 1 20 16 22 18 23 30 16 19 14 16 17 25 Condition 2 14 13 17 19 21 22 14 22 12 14 15 22 Refer to Exhibit 10-1. The population to which these results apply is ____. a. the 12 students in the experiment b. all students c. all adults d. the freshman class 14. (Points: 1) Exhibit 10-2 Refer to the following hypothetical data collected using replicated measures design: Subject 1 2 3 4 5 6 7 8 9 10 Pre 50 49 37 16 80 42 40 58 31 21 Post 56 50 30 25 90 44 60 71 32 22 Refer to Exhibit 10-2. In a two-tailed test of H0 using a = 0.05, what is p(obtained) for the results shown? a. 0.0500 b. 0.0216 c. 0.1094 d. 0.0108 Save Answer 15. (Points: 1) Exhibit 10-2 Refer to the following hypothetical data collected using replicated measures design: Subject 1 2 3 4 5 6 7 8 9 10 Pre 50 49 37 16 80 42 40 58 31 21 Post 56 50 30 25 90 44 60 71 32 22 Refer to Exhibit 10-2. What type error might you be making using a = 0.052 tail? a. Type III b. Type II c. Type I d. cannot be determined

The random variables X and Y each take values -1 and 1, and p(X=1)=a, P(Y=1)=b. Suppose Z=XY and that X, Y and Z are pairwise independent. What are the values of a and b? are {X,Y,Z} independent?

You own a store that sells light bulbs. Customers have been complaining that the bulbs you sell burn out quickly. You want to identify which of two factories (Factory A or Factory B) is the one producing the current batch of light bulbs in your store. You have n light bulbs in your test batch, but you do not know from which factory these bulbs came. Furthermore, you have no a priori reason to think one factory is more likely than the other. You have examined m light bulbs (where m < n) and you have measured the lifetime of these m light bulbs. Assume that the light bulbs produced in Factory A have a lifetime you can model as being exponentially distributed with parameter A. Assume that the light bulbs produced in Fac- tory B have a lifetime you can model as being exponentially distributed with parameter B. Finally, assume that the lifetimes of the light bulbs are conditionally independent given the parameters. Let be the exponential failure rate for light bulbs in your test batch of size n. (a) Assuming that you know A and B, write the posterior probability distribution of . (b) Assume the following independent prior distributions for A and B: AjA; A Gamma(A; A) BjB; B Gamma(B; B) nd the posterior distribution of with these assumptions. What is the name of this type of distribution?

if three subcomponents are randomly selected, find the probability that their mean length exceeds 118 cm,the mu= 116 and sigma= 4.8

Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to 8 minutes.

A consumer organization has reported test data for 50 car models. We will examine the association between the weight of the car (in thousands of pounds) and the fuel efficiency (in miles per gallon). The data are in the attached EXCEL file (Fuel economy.xls).

Please answer #4 of the attachment. Please show work…

prepare a ffrequncy table for the price data given below, taking 5 units as the width of class interval? 96 92 88 86 81 82 80 78 91 87 83 79 77 75 73 71 69 58 56 73 50 57 55 53 51 48 16 63 59 55 51 49 47 45 43 41 58 54 50 56 44 42 40 38 36 46 53 50 43 100

Question #1 is attached

At a certain college there were 400 science majors, 200 engineering majors, and 700 business majors. If one student is selected at random, the probability they are an engineering major is

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November 3, 2019