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# Probability

### Probability

Please provide explanation and answers to these questions. 1. The Speed master IV automobile gets an average 22.0 miles per gallon in the city. The standard deviation is 3 miles per gallon. Assume the variable is normally distributed. Find the probability that on any given day, the car will get more than 26 miles per gallon

### Decision Analysis

Please refer to the attachment for the problem.

### Statistics: 9 Probability questions

See attached file. 1. At a swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager. 2. An automobile dealer has 10 Fords, 7 Buicks, and 5 Plymouths on his used-car lot. I

### Statistics: Six Probability Quesitons

Please see the PDF attached for proper format. I need the full detailed solution of the following 6 probability questions. 1) Given S = {a, b, c, d, e, f, g, h, i, j, k, l}, A = {a, b, c, d, e, f, g, h}, and B = {g, h, k, l}, list the elements of [(A C ∪ B ) C ∪ B C] C. 2) For S = {1, 2, 3, 4}, A = {2, 3, 4} ∈A, a

### Percentage of Stolen Belongings in Burning Ridge Estates

One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The chief of Police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability

### Binomial Distribution

A Tamiami shearing machine is producing 10 percent defective pieces, which is abnormally high. The quality control engineer has been checking the output by almost continuous sampling since the abnormal condition began. What is the probability that in a sample of 10 pieces: a. Exactly 5 will be defective? b. 5 or more will be

### Statistics and Probability: Antennae

Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 200 antennas, find the probability that: a. None of the antennas is defective. b. Three or more of the antennas are defective.

### Probability calculation

According to the College Board's report, the average tuition and fees at four year private colleges and universities in the United States was \$20,273 for the academic year 2002-2003 and the standard deviation was \$4100. For a random sample of 100 four year private US Colleges A. What is the mean of the sampling distribution?

### Normal Distribution

Data from a National Health Survey show that men's average weight is normally distributed with a mean of 170 pounds and a standard deviation of 30 pounds. A. If A man is chosen at random, what is the probability that his weight is greater than 180 pounds? B. If 100 men are randomly selected, what is the probability that TH

### Statistics/Probability

Revised the R = \$1000 to R=\$1,000,000. ______________ The management of Orange Computers was considering launching a new product called the whopper101. The problem was that if a certain competitor had developed a new technology as had been rumored, they would quickly blow the whopper101 out of the water resulting in a loss of

### Medical laboratory worker exposure to blood specimens

A medical laboratory receives 40 blood specimens to check for HIV. Eight actually contain HIV. A worker is accidentally exposed to five specimens. (a) What is the probability that none contained HIV? (b) That exactly two contained HIV? (c) Fewer than three? (d) At least two? Make an Excel graph of the PDF of this d

### Statistics: Property of continuous distributions

Please choose the correct answer and write briefly why. A property of continuous distributions is that: a. As with discrete random variables, the probability distribution can be approximated by a smooth curve b. Probabilities for continuous variables can be approximated using discrete random variables c. Unlike discret

### True or False about probability error

Please state which of the below statements are true or false, and explain briefly why 10. For a continuous distribution, the exact probability of a particular value is always zero. ( 11. You cannot make a Type I error when the null hypothesis is true. (Ch9) 12. In a regression model, a value of the error term d

### Probability question of bottled water being just tap water

A study of bottled water found that 25% of the brands of bottled water just put tap water into the bottles. In a sample of 8 different brands of bottled water what is the probability that fewer than 3 are just tap water?

Engineers must consider the breadths of male heads when designing motorcycle helmets. Men have had breadths that are normally distributed with the mean of 6.0 inches and a standard deviation of 1.0 inches (based on anthropometric survey data from Gordon, Churchill, et al.). A. If one male is randomly selected, find the probab

### AIU life insurance per household: mean, distribution, and standard deviation

Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is \$110,000. This distribution follows the normal distribution with a standard deviation of \$40,000. a. If we select a random sample of 50 households, what is the standard error of the mean? b.

### Solution for queuing theory

4. Tom Smith's Jiffy Lube is able to serve customers in an average time of 12 minutes (negative exponential distribution). Customers arrive at the shop at an average of 3 per hour (Poisson distribution). The queue discipline is first-in, first-out and the calling population can be considered infinite. a. What is the average n

### Gasoline mpg; probability for door assembly; health insurance

See attached graph for problem 3. 1.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will

### Statistics for Managers Using Excel for Acme Tire: P2.1, 2.2, 2.3, 2.4

Problem Set 2 Acme Tires manufactures two types of tires: high performance tires and all weather tires. 33% of the tires they produce are high performance tires. They offer a 40,000 mile warrantee on each of the tires they sell, and 89% of all tires exceed 40,000 miles of tread life. Furthermore, 30% of all the t

### Statistics: Discrimination suit filed against the City of Chicago for Fire Captain exam

In the judicial case of United States vs. City of Chicago, discrimination was charged in a qualifying exam for the position of Fire Captain. In the table below Group A is a minority group and Group B is a Majority Group. Passed Failed Group A 10 14 Group B 417 145 A) If one of the test subjects is randomly selected,

### Probability of guessing the right card from a card deck

Suppose I put 6 cards face-up on a table [you know, from a regular deck of playing cards -- hearts, diamonds, spades, clubs; Ace, 2, 3, ..., 10, J, Q, K] and asked you to pick one of the 6 cards without telling me which one it was. That is, I select 6 of the 52 possible card and place them face-up on a table. The other 46 cards

### Three Statistics Problems: Sample probability, normal distribution, uniform distribution

In a recent survey 35 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of 10 people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate b. What is the probability exactly four of those in a sample named cho

### Probability of orders after demonstrations of household appliance

Please provide an answer to the questions below, if possible using Excel and show your formulas. A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance to potential customers. She has found from her years of experience that after demonstration, the probability of purchase (lo

### Study of laid off teachers; J.O. Supplies Co defective calculators

Please answer those questions in Excel only, in Excel please show your work, steps and formulas. 4. In a study conducted for the State Department of Education, 30% of the teachers who left teaching did so because they were laid off. Assume that we randomly select 10 teachers who have recently left their profession. Find the p

### Independent and mutually exclusive events

Select the correct answer and explain briefly why 1. Two mutually exclusive events having positive probabilities are ______________ dependent. A. Always B. Sometimes C. Never They are necessarily dependent because the occurrence of one (seriously) affects the probability of the other (makes it zero). 2. If P(A)>0 a

### True or False for probability, independs, mutually exclusive events

Please indicate whether below statements are True or False? (explain shortly why): 1. If events A and B are independent, then P(A/B) is always equal to zero. 2. If events A and B are mutually exclusive, then P(A/B) is always equal to zero. 3. If the probability of success is 0.4 and the number of trials in a binomial

### Sampling Distribution of Sample Proportion..

1) A store has determined that 25% of all sales are credit sales. A random sample of 75 sales is selected. What is the probability that the sample proportion will be: a) greater than .34? b) between .196 and .354? c) less than .25? d) less than .10? 2) 10% of items produced by a machine are defective. A random sample of 1

### Determining Aspects of a Queuing Problem

Automobiles arrive at the drive-through window at a post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. the Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (A) what is the average time a car is in the system? (b) what is the aver

### Statistics: 17 problems: Probabilities, normal curve, z-score, lottery probabilities

1) Empirical probabilities are: A) based on the normal curve B) deeply rooted in probability C) scores from a sample D) essentially percentages based on a large number of observations 2) Roughly _________________ percent of the total area under the normal curve rests between the mean and one standard deviation above.

### Normal Distribution for age of population in Florida subdivision

Assume that, among residents of a large Florida subdivision, the population mean age is 65 years old, the population standard deviation is 2 years, and that the age variable is distributed normally. What is the probability that a randomly chosen individual would be between 64 and 66 years of age? What is the probabilit