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Probability

1. In previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.84 inches ... 2. Use the Poisson distribution to find the indicated probabilities. In one year, there were 116 homicide deaths in Richmond, Virginia. For a randomly selected day, find the probability that the number of homicide deaths is 0. ... [See the attached questions file.]

1. In previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.84 inches. In a test sample of 40 new balls, the bounce heights had a mean of 92.67 inches and a standard deviation of 1.79 inches. Use a 0.05 significance level to determine whether there is sufficient evidence to sup

Probability of Thermometer Readings

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and a standard deviation of 1 degrees C. A thermometer is randomly selected and tested. Find the probability of a reading that is less than -2.75.

Probability: Mean Weights of Men

Assume that mens weights are normally distributed with a population mean of 172 pounds and a population standard deviation of 29 pounds. If 81 men are randomly selected, find the probability that they have a mean weight between 100 and 165 pounds.

Probability - The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. One classic use of the normal distribution is inspired by a letter to dear abby in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the US Navy. given this information, find the probability of a pregnancy lasting 308 days or longer.

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. One classic use of the normal distribution is inspired by a letter to dear abby in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the US Navy. given this i

Probability - Variable that could be used to stratify population

1. Give a variable that could be used to stratify the population for each of the following studies. List at least four subcategories for each variable. a. A political party wants to conduct a poll prior to an election for the office of U.S. senator in Minnesota b. A soft drink company wants to take a sample of soft drink purc

The restaurant in a large commercial building provides coffee for the building's occupants. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the occupants is 2.0 with a standard deviation of .6. A new tenant of the building intends to have a total of 125 new employees. What is the probability that the new employees will consume more than 240 cups per day?

The restaurant in a large commercial building provides coffee for the building's occupants. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the occupants is 2.0 with a standard deviation of .6. A new tenant of the building intends to have a total of 125 new employees. What is the

Probability - A production process manufacturers alternators. On the average, 1% of the alternators will not perform properly when tested in the plant. When a large shipment of alternators is received at the plant, 100 are tested, and, if more that 2 are defective, the shipment is returned to the manufacturer. What is the probability of returning a shipment?

A production process manufacturers alternators. On the average, 1% of the alternators will not perform properly when tested in the plant. When a large shipment of alternators is received at the plant, 100 are tested, and, if more that 2 are defective, the shipment is returned to the manufacturer. What is the probability of retur

Comparing z-scores and probability

Please see the attached file. 1. An article in USA Today stated that "Internal surveys paid for by directory assistance providers show that even the most accurate companies give out wrong numbers 15% of the time." Assume that you are testing such a provider by making 10 requests and also assume that the provider gives the wro

Binomial Probability of Snow Storms

4a. If the probability of a snow storm producing over 20 inches of snow in Easton, PA in a given winter is .33, what is the probabilty that over a period of 10 winters-they will have had 2 winters with such a storm? (Note-by using the binomial distribution for this problem, we're assuming that a success is a winter with a snowst

Probability

A) In a (poorly run) widget factory, it is known that 25% of all products off the line will be defective. A random sample of 5 widgets is taken on a certain day. What is the probability that all of the widgets are defective? What is the probability that none are defective? B) A coin is flipped 5 times in a row. What is t

Statistics - Probability - Runzheimer International, a management consulting firm specializing in transportation reimbursement, released the results of a survey on July 28, 2005. It indicated that it costs more to won a car in Detroit, an amazing $11,844 a year for a mid-sized sedan, ... [See the attached question file.]

Runzheimer International, a management consulting firm specializing in transportation reimbursement, released the results of a survey on July 28, 2005. It indicated that it costs more to won a car in Detroit, an amazing $11,844 a year for a mid-sized sedan, than in any other city in the country. The survey revealed that insuranc

Step by step calculations for probability

An airline is trying to determine whether the price of fuel will rise or fall in the future. They believe there is a 65% chance that the cost of fuel will fall. However, they are risk-averse and prefer to hire an analyst. The airline execs have found that when the price of fuel fell, the analyst correctly predicted the decrease

Steady-State Distribution from a forward Fokker-Planck equation.

Question on obtaining the Steady-State Distribution for a Transition Probability Density Function from a forward Fokker-Planck equation. An example of a similar solution has been provided. Basically I need to show detailed workings from my forward equation to the steady-state probability distribution. Please answer as clearly as

EMV Machine Purchase Combinations

6. The manager of an ice cream parlor located in a small resort town is trying to decide whether or not to purchase a new soft serve machine. The new equipment will cost $3,200 or $3.2k. The profitability of this investment will depend on whether the vacation season is booming or slow. There is a 15% probability the vacation

Probability - 1. The shape of data is another indicator. There are four shapes commonly observed: symmetric, positively skewed, negatively skewed, and bimodal. What measure of location can be influenced by skewness? ...

1. The shape of data is another indicator. There are four shapes commonly observed: symmetric, positively skewed, negatively skewed, and bimodal. What measure of location can be influenced by skewness? 2. The probability is a chance of occurrence of an outcome. Can the probability of occurrence of one outcome in an experimen

Probability Distribution - 1. Gender selection: In a case study of the Microsoft gender ... 2. Life Insurance: The Teleltronic Company provided life insurance policies for its ... [See the attached Question Files.]

Determine whether a probability distribution is given. In those cases where a probability distribution is not described, identify the requirements that are not satisfied. In those cases where a probability distribution is described, find its mean and standard deviation. 1. Gender selection: In a case study of the Microsoft g

Probability of buying a new book

Suppose that 30% of all students who have to buy a text for a particular course want a new copy, whereas the other 70% want used copy. Consider randomly selecting 25 purchasers. a). What are the mean value and standard deviation of the number who want a new copy of the book? b). What is the probability that the number who want

Probability: Votes, the Bernoulli Process, and Volume Purchasers

1. A May, 2004 news report indicated that George Bush 74% overall approval rating among Republicans. 26% of all others disapprove. Assume that 45 percent of registered voters are Republican. If you select a registered voter at random and the voter approves of the President's performance, what are the chances that the voter is a

Binomial distribution: US Space Shuttle redundant systems reliability: a. Find the probability that this shuttle component functions successfully if n = 2. b. Find the probability that this shuttle component functions successfully if n = 4.

Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. In other words, backup systems are included with many vehicle components so that if one or more systems fail, backup systems will assure the safe operation of the given component and thus the entire vehicle.

Normal Distributions: purchase amounts by customers

Suppose it is known that the distribution purchase amounts by customers entering a popular retail store is approximately normal with mean $25 and standard deviation $8. a. What is the probability that a randomly selected customer spends less than $35 at the store? b. What is the probability that a randomly selected custom

Simulation of queuing systems

Consider the following continuously operational job shop. Inter arrival times of jobs are described as follows: Time between arrivals (hrs) probability 0 0.23 1 0.37 2 0.28