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Probability

Sampling in statistics and acceptance regions

Q1 - The probability of accepting a lot that is 10% defective is .677. Does that mean, then, that the probability of rejecting the lot is 0.333? Q2 - An acceptance sampling plan states that twenty 2-inch squares of the incoming material must be checked and if 3 or less squares are imperfect, the lot is accepted. What is the

A tire company has developed a new type of tire: Probability analysis of miles

A Tire company has developed a new type of tire. Extensive testing shows that the number of miles the new tire will run before wearing out is normally distrubuted with a mean of 40,000 miles and a standard deviation of 4,000 miles (Hint: Sketch bell shaped curves for the three questions below. a) What is the probability that

Azure Valley Electric average outage cost; TRP is offering ski chalet condos

1. Azure Valley Electric Co-operative has for many years contracted with a neighboring utility to handle emergency service requests which occur, primarily due to storm damage, at the average rate of 2 per hour. It now feels that it should probably assume this responsibility itself and has been presented with two proposals for v

Setting up a probability distribution

Fast Service Store has maintained daily sales records on the various size 'Cool Drink' sales. These are shown in the following table: 'Cool Drink' Price Number Sold $0.25 75 $0.35 120 $0.50 125 $0.75 50 a.Set up a probabili

Statistics: Probability value, Probability distribution

See attached file for formulas. 2. Based on FAA estimates the average age of the fleets of the ten largest U.S. commercial passenger carriers is 13.4 years with a standard deviation of 1.7 years. Suppose that 40 airplanes were randomly selected from the fleets of these ten carriers and were inspected for cracks in the airplan

Determining EMV & EOL for vendor at baseball stadium

Q3. Determining EMV & EOL A vendor at the a baseball stadium must decide whether to sell ice cream or soft drinks at today's game. The vendor believes that that the profit will depend on the weather. On the basis of her past experience at this time of year, the vendor estimates the probability of warm weather as 0.60 and cool

Probability distribution that you will receive a sample mean grand prize

Game show shows you a large revolving drum containing four identical white envelopes that have been thoroughly mixed in the drum. Each of the envelopes contains one of four decks made out for grand prizes of 20, 40, 60, and 80 thousand dollars. Usually, a contestant reaches into the drum, selects and envelope, and receives the g

Probability Density Function (PDF)

Let X have probability density function (pdf) f(x) = x^2 / 24; - 2 < x < 4 and zero otherwise. Find the pdf of Y=X^2. Please use the method of transformations to solve it, and show all the steps of the solution to help me understand how it is solved.

Probability Distribution Function

Please show all the steps in the solution because it will help me understand how it is solved. If X is Weibull distributed, X ~ WEI(theta, beta), find both the CDF and PDF of the following: Z = (ln X)^2

How to Calculate Probability for Sale of Wind Insurance

A company examines homeowners records and sees that the mean loss from wind annually is $250 per house with std dev of $1000. They plan to sell wind insurance for $250 + estimates coverage costs & profits. i) If they sell 10,000 policies, what is the probability that annual average loss is greater than $275? ii) What shape

Binomial & Normal Probabilities Interpretations

Please provide step by step solution. Instructions: Solve the following problems keep the guidelines below in check. If you are calculating something using a table, the number of decimal places from the table is expected. like z=1.00, table value is .8413 (2 decimal places for z, 4 for the probability) REGARDING NUMBER

Lottery profits, Probability Distribution, Mary's grades this semester

Please provide step by step solution. Instructions: Solve the following problems keep the guidelines below in check. If you are calculating something using a table, the number of decimal places from the table is expected. like z=1.00, table value is .8413 (2 decimal places for z, 4 for the probability) REGARDING NUMBER

Probability of age less then 18 when smokers started smoking

According to recent research, 80% of adut smokers started smoking before they were 18 years old. Suppose ten smokers are randomly selected and the number of smokers who started smoking before 18 is recorded. A) Find the probability that exactly eight started smoking before turning 18 years of age. B) Find the probability

Normal Probability: Breaking Distance of Ford F-150

The breaking distance of a sample of Ford F-150's are normally distributed. On a dry surface, the mean breaking distance was 158 feet with a standard deviation of 7.23 feet. What is the longest breaking distance on a dry surface one of these F-150 trucks could have and still be in the 1% (best meaning shortest breaking dis

variance and the standard deviation of the number of admissions

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,070 0.3 1,300 0.1 1,580 0.6 -------------------------------------------------------------------------------- (1) Wha

Decision Analysis

1. The electric company is in the process of building a new power plant. There is some uncertainty regarding the size of the plant to be built. If the community that the plant will service attracts a large number of industries, the demand for electricity will be high. If commercial establishments ( offices and retail stores) ar

Probability distribution of calls received by an office on Monday

1. The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a probability distribution with a mean of 4. a. What type of probability distribution is appropriate for this problem? b. Determine the probability of getting no calls between eight and nine in the morning. . c. Calculate the pro

Probability and Decision Analysis

1. Use the normal approximation without the correction factor to find the probabilities in the following exercises. a. In a binomial experiment with n = 300 and p=.5, find the probability that P is greater than 60%. b. Repeat Part a with p = 55 c. Repeat Part a with p = .6 2. Determine the probability that in a sample

Probability that adult smokers started smoking before

According to recent research, 80% of adult smokers started smoking before they were 18 years old. Suppose ten smokers are randomly selected and the number of smokers who started smoking before 18 is recorded. A) Find the probability that exactly eight started smoking before turning 18 years of age. B) Find the probabili

Probability of salary levels for faculty members at SLU

The population mean annual salary for first year faculty at SLU is $47,000. Assuming that the population standard deviation is $1800: 1.) What is the probability that one randomly selected faculty member at SLU has a salary less than $46,000 ? 2) Suppose that 10 faculty members are randomly selected. What is the probabil

Standard Normal Probability

Determining the Z and X values when an area under the normal distribution curve is known. Find the value of z so that the are under the standard normal curve from 0 to z is .4772 and z is positive. Between 0 and z os (approximately) .4785 and Z is negative in the left tail is (approximately) .3565 in the right tail is (app

Normal Probability: Delivery Truck fuel consumption

A delivery truck averages 15 miles per gallon, with a standard deviation of 3 miles per gallon, and that fuel consumption is Normally Distributed. Using the Normal Distribution, if the total trip mileage for that day is 200 miles, what is the minimum amount of fuel (gallons) that the driver should start the trip with to ensure

Binomial Distribution and trend that stock market performance will continue

Compared with almost any other investment alternative, the stock market performed especially well during the 1990s. In fact, there were only two years out of ten years during the 1990s when the S&P 500 stock index failed to give an annual return on investment of 12 percent or more. So, based on this ten year period, the probab

Normal Distribution - Probability

Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 100 minutes and a standard deviation of 20 minutes. What proportion of 1040R tax forms will be completed in less than 60 minutes? Round your answer to at least four decimal places.

Statistics: 20 multiple choice

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the permutation. 1) P( 9, 5) 1) ___ A) 9 B) 1 C) 504 D) 15,120 A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the

Early onset cardiovascular disease in men and women

An investigator wants to design a study to estimate the difference in the proportions of men and women who develop early onset cardiovascular disease (defined as cardiovascular disease before age 50). A study conducted 10 years ago found that 15% and 8% of men and women, respectively, developed early onset cardiovascular disease

Calculating Probability in manufacturing aluminum plates.

A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture small aluminum plates. Past data indicates that if the machine is operating "properly," the length of the plates produced by this machine can be modeled as being normally distributed with a mean of 117 centimeters

9 Problems: Normal Probabilities, Samples, Distributions

1- Given the following set of numbers assume this is a population: 4,5,7,7,3,5,8,9,6. If this set of numbers were a sample, what divisor would you use to find the variation? 2- Earlier this semester we had a problem with birds with sore throats. I own the pet store that has these birds and I need to get them some medical tre

Probability for Southest grocery stores having pharmacy, floral, deli

A survey of grocery stores in the Southeast revealed 40 percent had a pharmacy, 50 percent had a floral shop, and 70 percent had a deli. Suppose 10 percent of the stores have all three departments, 30 percent have both a pharmacy and a deli, 25 percent have both a floral shop and deli, and 20 percent have both a pharmacy and fl