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Probability

Lifeboat Rescue Analysis

Suppose a ship is searching visually for a life raft and that at time t, range is r(t) and detection rate is gamma(t) = 40 / r(t)^3 hr^-1, with t in hours, and r(t) in nm. The ship starts the search at an initial range of 2 nm and approaches the life raft on a direct course at a speed of 10 knots. Answer the following:

Solving a probability question with dice

Please explain to me how to do this question. Consider a case where the probability of one object giving the desired result is not 1/2. Suppose you tossed a die (one half of a pair of dice). The probability of six dots coming up is 1/6. Now suppose you tossed the dice. Calculate the probability of only one die showing six dot

Probability, independence and exclusive events

a bank has the following data on the gender and marital status of 200 customers: single 20 male 30 female, married male 100 female 50, a. what is the probabilty of finding a customer who is single? b. if a customer is female, what is the probability that she is single? c. what is the prpobability that a customer is male or fema

Discussing Probability Concepts

Probability in a sampling of computer cases being defective, rate is usually 5% In a sampling of 6 what is the probability of 0 being defective, and what is the probability of exactly one being defective If 0 or 1 out 6 is defective, process is in control, if the true proportion of defective items is 0.15 what is the prob

Sample Question: Probability

The following table gives the number of Property Crimes by category of crime and geographical region. East South Midwest West Totals Burglary 75 128 29 52 284 Motor Vehicle Theft 233 514 104 251 1102 Larceny

Probability: Boy Scout Troop Weight

The weights of the 100 boys in the Boy Scout Troop 829 are normally distributed with a mean of 170 pounds and a standard deviation of 5 pounds. a. What is the probability that a boy picked at random weighs less than 165 pounds? b. How many boys would you expect to weigh between 161 and 173 pounds? c. Find the 96th perce

Probability Distribution of Total Losses

(Please help me solve this problem and show all work and steps in completing it. Thank you.) Ranger Inc. makes two shipments of products each month (shipment A and shipment B). The two shipments are made using the same mode of transportation and they are sent independantly of one other. (i.e., they are not shipped at the sa

Probability: XYZ Company Sample Question

*PLEASE SHOW ALL WORK FOR COMPLETING THIS PROBLEM SO THAT I KNOW HOW TO DO IT IN FUTURE SITUATIONS* From past information, XYZ has collected the following data for the # of building losses per year for their 80 buildings. # of building losses per year # of buildings having these losses 0

Probability based on a Random Sample

Three in five adults in the U.S. own an answering machine. In a random sample of 12 adults, what is the probability that the number owning answering machine is: A) exactly nine, B) at least nine, C) What is the expected value of the random variable defined in this problem?

A recent survey reported in Business Week dealt with the salaries of CEOs at large corporations and whether company shareholders made money or lost money

A recent survey reported in Business Week dealt with the salaries of CEOs at large corporations and whether company shareholders made money or lost money. CEO Paid More CEO Paid Less Than \$1 Millio

Pb 6 binomial using chi-square goodness-of-fit Test

Solve the following Problem: Pb. 6 In a study designed to determine patientâ??s acceptance of a new pain reliever, 100 physicians each selected a sample of 25 patients to participate in the study. Each patient, after trying the new pain reliever for a specified period of time, was asked whether it was preferable to the pain

Goodness Fit for Binomial Distribution

Please see the attached file for the data to go along with these questions. 1.23 Solve the following problem Given the number of male births in German families with eight offspring. One model that might be considered for these data is the binomial distribution. This problem requires a goodness-of-fit test. (a) Estimat

Poisson distribution Confidence Interval

Solve the following problem: Find 95% confidence intervals for the population percent dying based on these data: (1) 199 of 13,078 electronics technicians died of disease; (2) 100 of 13,078 electronics technicians died of circulatory disease; (3) 308 of 10,116 radarmen died (of any cause); (4) 441 of 13,078 electronics techni

Statistics

A researcher measures the following scores for a group of people. The X variable is the number of errors on a math test, and the Y variable is the person's level of satisfaction with his/her performance. A.) With such ratio scores, what should the researcher conclude about this relationship? B.) How well will he be able

Applications for Probability

In what situations might you use probability as a manager to approach business-related problems? What are the advantages to using probability concepts in business decisions? Are there any disadvantages or possible pitfalls to avoid using probability in business?

Probability, Standard Deviation, Mean.

Suppose in a particular county in Maryland the mean number of motor vehicle deaths each year is 35.4. A) Find the mean number of deaths per year. B) Find the standard deviation of deaths per day. C) Find the probability that on a given day, there are more than 2 motor vehicle deaths. D) Is it unusual to have more than 2 moto

Probability and normal random variables

Please help with the following statistics related problems. Jane Doe learns that the newland Agency has hired only 15 women among its last 40 new employees. She also learns that the pool of applicants is very large, with an equal number of qualified men and women. A) Find the probability that among 40 such applicants, the

CDF, Expected Value and Variance

Please see the attached pdf file.

Probability in Random Selection

I thought I understood this, but my instructor advised me my answers were wrong. I have not heard back in three days from him and I need to understand this. Please help me. If the table below is not acceptable, please let me know and I will make it in a word document and attach. Thank you. An allergy drug is tested by giv

Mean cost \$328, standard deviation \$92

In an article about the cost of health care, Money Magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of \$328. Assume that the cost for this type of hospital emergency room visit is normally distributed with a standard deviation of \$92. a. What is the probabil

Probability of random variables

Prove the following: a) Fxy(a,b) is non-decreasing (in a and b). b) lim a->inf Fxy(a,b) = Fy(b) c) Jointly continuous random variables X and Y are independent if and only if fxy(x,y) = fx(x)*fy(y) fxy(x,y) is the joint probability density function. Fxy(a,b) is the joint cumulative

Z values

The daily trading volumes (millions of shares) for stocks traded on the New York Stock Exchange for twelve days in a certain period are given below. See attachment. Assume that the probability distribution of trading volumes is approximately normal. 1. Compute mean and standard deviation for daily trading volumes to use

Odds Ratio

What is the odds ratio (and what does it mean) for a density case control study with the this info. Death from treatment x = 30 control series in treatment x = 174 Death from treatment y = 21 control series in treatment y = 184

True or False Questions & Probability

1. True or false, and explain: (a) If something has probability 1,000%, it is sure to happen. (b) If something has probability 90%, it can be expected to happen about nine times as often as its opposite. 2. The chance of A is 1/3; the chance of B is 1/10. True or false, and explain: (a) If A and B are independent, th

Given: P(A|B and C = .10, P(A|Not B and C) = .05 P(A|B and Not C) = .35, P(A|Not B and Not C) = .20 P(C|B) = .90, P(C|Not B) = .30 A = Promoted within last year B = MBA Degree C = Hired directly out of school Can you derive probabilities: P(A|B) = .125, P(A|Not B) = .155 can you shed any light on this "Paradox"?

Probability Concepts and Applications

I need help with the probability and explaining it. This is graduate level work. Please see attached case study. The questions I need help with are the two for the case study at the bottom of the page. These are the two discussion questions: 1. What are the chances of getting 15 days of rain over the next 30 days? 2.

What is the probability of matching only the red ball in a lottery game?

Powerball is a lottery game. It involves choosing five white balls from a drum containing 55 balls and one red ball from a drum containing 42 balls. A player must match all five white balls and the red ball to win the jackpot. How would you investigate the question about the probability of matching only the red ball? What

Probability

1. A study shows that employees that begin their work day at 9:00 a.m. vary their times of arrival uniformly from 8:40 a.m. to 9:30 a.m. The probability that a randomly chosen employee reports to work between 9:00 and 9:10 is: 40% 20% 10% 30% 16.7% 2. Suppose that the times requ

Statistics: Probability of invoice errors, cable company response time, correct answers

Your company's internal auditor believes that 10% of the company's invoices contain errors. To check this theory, 20 invoices are randomly selected and 5 are found to have errors. What is the probability that of the 20 invoices written, five or more would contain errors if the theory is valid? a. .0433 b. .03

Decision Tree for profitability of owners of a car park

As a result of an increase in demand for a town's parking facilities, the owners of a car park are reviewing their business operations. A decision has to be made to choose one of the following options: Option 1. Make no change. Annual profit is \$200,000. There is little likelihood that this will provoke new competition.