Laura is training for a week-long mountain cycling tour. She has 12 short hilly routes from which to choose mid-week rides. a) How many ways can she choose 4 different rides from the list for the first week's training if order matters? b) How many ways can she choose 4 different rides if order does not matter? c) If sh
The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?
An urn contains 8 balls identical in every respect except color. There are 4 blue balls, 3 red balls, and 1 white ball. a) If you draw one ball from the urn what is the probability that it is blue or white? b) If you draw two balls without replacing the first one, what is the probability that the first ball is red and the
John has two jobs. For daytime work at a jewelry store he is paid $200 per month plus a commission. His monthly commission is normally distributed with a mean of $600 and a standard deviation of $40. At night he works as a waiter, for which his monthly income is normally distributed with a mean of $100 and a standard deviation o
Suppose that patrons of a restaurant were asked whether they preferred beer or whether they preferred wine. 70% said that they preferred beer. 60% of the patrons were male. 80% of the males preferred beer. What is the probability a randomly selected patron prefers wine is? What is the probability a randomly selected patro
The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes. A random sample of 16 cars is selected. What is the probability that the sample mean will be between 39 and 48 minutes?
A. Tossing a Coin Simulate 6 independent tosses of a fair coin. Repeat the procedure to get 200 sets of 6 coin tosses. (That's 1200 total tosses.) List the results. Explain carefully your method of simulating the tosses, whether it involves a computer, a table of random digits, or even flipping several coins at once. Addre
Given Buy at $4.00, Sell at $7.00 Demand 0 P d .1 Demand 1 P d .2 Demand 2 p d .2 Demand 3 P d .3 Demand 4, P d .2 a.Select the best stock level. b. Repeat with salvage value of $1
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Assume that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained. d. Find the mean and standard error of the xbar distribution. e. Find P (xbar > 70) f. Find P ( xbar < 67) I kno
The time between arrivals of cars at the Petroco Service Station is defined by thw following probability distribution. Time Between Arrivals 9min) Probability 1 .15 2 .30
23. The 2002 New York City Housing and Vacancy Survey showed a total of 59,324 rent-controlled housing units and 236,263 rent-stabilized units built in 1947 or later. For these rental units, the probability distributions for the number of persons living in the unit are given. Number of persons Rent-Controlled
The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of machines that will break down in a week follows. Machine Breakdowns Probability per week 0
Four students riding to school together offer the excuse of a flat tire on their car for missing a test. On the makeup test, the professor asks the students to each identify the tire that went flat. If they really didn't have a flat tire and randomly select one that supposedly went flat is the probability that they all select
The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of machines that will break down in a week follows. Machine Breakdowns Probability per week 0
1. The mean life of a computer disk drive is 2,000 hours. The standard deviation is 140 hours. Assuming the life-time of the drives to be normally distributed, find the probability of a disk drive lasting more than 1,800 hours. a. .4236 b. .9236 c. .8472 d. .5764 e. .2118 f. None of the above
The heights of 18 year old men are approximately normally distributed with mean 68 inches and a SD of 3 inches. A. What is the probability that an 18 year old selected at random is between 67 and 69 inches tall? B. If a random sample of 9 18 year olds men is selected, what is the probability the the mean hight x is be
1. Let A and B be two events. Suppose that P(A) = 0.2, P(B) = 0.5 and P(B|A) = 0.6. What is the probability of A or B or both occurring? 2. Let A and B be two events. Suppose that P(A) = 0.2, P(B) = 0.5 and P(B|A) = 0.5. What is the probability of A occurring given that B occurs? 3. A common problem facing many old
1. Suppose that a variable x has the following distribution function: f(x) = 0.0800x for x between 0 and 5.0 What is the population mean? 2. Suppose that a variable x has the following distribution function: f(x) = 0.3200x for x between 0 and 2.5 What is the population variance? 3. Suppose that a variable x has the fo
Given a normal distribution with ? = 100 and ? = 10, what is the probability that: a. X > 75? b. X < 70? c. X > 112? d. 75 < X < 85? e. X < 80 or X > 110? f. 10% of the values are less than what X value? g. 80% of the values are between what two X values (symmetrically distributed around the mean)? h. 70% of the value
I need to show all work such as formula commands. Label the following variables as discrete or continuous and explain why it is so, then verify at least one of the other postings. a. The number of new accounts established by a salesperson in a year. b. The time between customer arrivals to a bank ATM c. The number of
Kroft Food products is attempting to decide if it should introduce a new line of salad dressings called Special Choices. The company can test-market the salad dressings in selected geographic areas or bypass the test market and introduce the market and introduce the product nationally. The cost of the test market is $150,000. I
I know that each cruise (trip) is 1000 customers, with a standard deviation of 100. But how do I compute the percentages of cruises that take between 950 and 1025. 2. The five percent of cruises that represent the fewest number of passengers take on what number of passengers of less?
Use the data from a test of Nicorette the table as follows: Mouth or throat soreness No mouth or throat soreness Nicorette 43 109 Placebo 35 118 If two different subjects are randomly selected with replacement, find the probability that they are both from the placebo group. Sow the work.
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 42,0
Please see the attached file for full description. A sample of 500 respondents was selected in a large metropolitan area to determine various information concerning consumer behavior. The following contingency table was obtained:
The quality control process at a manufacturing plant requires that each lot of finished units be sampled for defective items. Twenty units from each lot are inspected. If five or more defective units are found, the lot is rejected. If a lot is known to contain 10% defective items, what is the probability that the lot will be rej
A game company that manufactures a dart game that dispenses tickets has been asked to put a business plan together for a customer who wishes to buy the game. The dart game gives 5 tickets for a score of 50, 4 tickets for a score of 40, 3 tickets for a score of 30, 2 tickets for a score of 20, 1 ticket for a score of 10, and no
80% of all crime is never solved. If a city has repeated crime, but not by the same criminals, and the cops are investigating 6 crime scenes: A. What is the probability that none of the crimes will be solved? B. What is the probability that at least one crime will be solved? C. What is the expected number of crimes that will
I am doing a problem similar to this one. Please explain step by step? It is reported that 45% of all college professors are extraverted. Suppose you have classes with six different professors. A. What is the probability that all six are extraverts? B. What is the probability that one of your professors is an extravert?