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# Probability

### Poisson Distribution - Use the Poisson Distribution the indicated probabilities in one year, there were 116 homicide deaths in Richmond VA. For a randomly selected day, find the probability that the number of homicide deaths is zero.

Use the Poisson Distribution the indicated probabilities in one year, there were 116 homicide deaths in Richmond VA. For a randomly selected day, find the probability that the number of homicide deaths is zero.

### Poisson Distribution - Use the Poisson distribution to find the indicated probabilities. Currently, 11 babies are born in the village of West point, population of 760, each year. Find the probability that on a given day, there is at least one birth.

Use the Poisson distribution to find the indicated probabilities. Currently, 11 babies are born in the village of West point, population of 760, each year. Find the probability that on a given day, there is at least one birth.

### Probability - statistics for normally distributed I.Q.'s with mean

Please answer true or false and give reason why. 7. P (-0.5 < Z < -0.3) = 0.0736. 8. For normally distributed I.Q.'s with mean of 100 and standard deviation of 16, the probability that 25 randomly selected individuals have an average I.Q. less than 95 is 0.0594. 9. The standard error of a sampling distribution of means

### 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

### Probaility Distrubution: Simulation

2. Every time a machine breaks down at the Savannah Manufacturing Co. either 1, 2, or 3 hours is required to fix it, according to the following probability distribution: Repair Time (Hours) Probability 1 .30 2

### The Savannah Manufacturing Co. produces a product for the shipping industry that uses 5 machines.

1. The Savannah Manufacturing Co. produces a product for the shipping industry that uses 5 machines. The probability distribution of the number of machines that will break down in a week is as follows: Machine Breakdowns per Week Probability 0

### Decision Based on Maximizing Expected Value

3. The concessions manager at the Clemson vs. USC football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to weather forecasts for the Columbia SC on game day. The manager estimates that the followi

### The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who don't. In fact, she claims that the average tip for the former group is 18%, whereas that of the later is 15%. If tips are normally distributed with a standard deviation of 3%, what is the probability that in a random sample of 10 tips recorded from waiters and waitresses who introduce themselves and 10 tips from those who don't, the mean of the former will exceed that of the latter?

The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who don't. In fact, she claims that the average tip for the former group is 18%, whereas that of the later is 15%. If tips are normally distributed with a standard deviation

### 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

### The heights of north American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.

The heights of north American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. a) What is the probability that a randomly selected woman is taller than 66 inches? b) A random sample of four women is selected. What is the probability that the sample mean height is greater than 66

### Probability Using Binomial Distribution

A recent survey indicated that 82% of single women aged 25 years old will be married in their lifetime. Using binomial distribution find the probability that 2 or 3 women in a sample of 20 will never be married.

### Probability: Sales Calls Will Result in an Order

An industrial chemical to retard the spread of fire in paint has been developed. From past experience, 48% of sales calls will result in an order. a) What is the probability that the first order will come on the fourth sales calls of the day? b) If eight sales calls are mad in a day, what is the probability of receiving ex

### 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

### Probability of Employees in the Sample Working at the Plant

Axline Computers manufactures personal computers at 2 plants. The Texas plant has 40 employees, the Hawaii plant has 20. A random sample of 10 employees is to be asked to fill out benefit questionnaires. A. What is the probability that none of the employees in the sample work at the plant in Hawaii? B. What is the probab

### According to a survey of American households, the probability that the residents own 2 cars if annual household income is over \$25,000 is 80%. ...

According to a survey of American households, the probability that the residents own 2 cars if annual household income is over \$25,000 is 80%. Of the households surveyed, 60% had incomes over \$25,000 and 70% had 2 cars. The probability that the residents of a household own 2 cars and have an income over \$35,000 a year is. a.

### Research Design, Probability, Discrete/Continuous Distributions

1. A small business owner is experiencing a high staff turnover and wants to design a study to investigate the problem. Please identify following elements of this research study. a. Research problem b. Research design c. Hypothesis to be tested d. Data collection methods e. Unit of analysis. 2. Sara scored 75 in a sta

### 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

### Joe Kelly's oil change and tune-up place :Simulation

3. The number of cars arriving at Joe Kelly's oil change and tune-up place during the last 200 hours of operation is observed to be the following: # of Cars Frequency 3 0 4 10 5 30 6 70 7 50 8 40 9

### An operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers.

2. The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. # of Workers Low Compliance Medium Compliance High Compliance 1 50 50 50 2 100 60 20 3 150 70 -10 a. If he

### Exercise 5. One die is rolled. Find the probability of rolling a two given that an even number has been rolled. ...

Exercise 5. One die is rolled. Find the probability of rolling a two given that an even number has been rolled. Exercise 6. In a small, rural town in Pennsylvania, 62% of the work force is classified as "blue collar". It is also known that 72% of the blue collar workers are dog owners and that 56% of the white collar w

### 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

### An army tank 2.2m wide needs to travel 19m to cross a minefield.

An army tank 2.2m wide needs to travel 19m to cross a minefield. The enemy that laid the minefield is known to have a standard practice of randomly placing 129 mines per hectare (10 000 m2). What is the probability that the tank will set off a mine?

### Probability for a uniformly distributed random variable

The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons. a.Compute the probability that the steel mill will produce more than 150 metric tons next week. b.Determine the probability that the steel mill will produce between 120 and 160 metric tons next week.

### Probability - Random Variables

36. Let the random variable X denote the number of emergency calls received by the campus police office each day. The probability mass function of X is given by: X P(X) 0 0.75 1 0.05 2 0.10 3 0.05 4 0.05 1.00 a) Find the expected value of X b) Variance of X c) Standard deviation of X

### Probability based on Z score

The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a student uses fewer than 400 minutes? a. 0 b. 0.023 c. 0.159 d. 0.977 e. none of the above

### Probability: Find the Mean of X

The number of phone calls coming into a switchboard in the next five minutes will either be 0, 1, or 2. The probabilities are the same for each of these (1/3). If X is the number of calls arriving in a five-minute time period, what is the mean of X? a. 1/3 b. 2/3 c. 1 d. 4/3 e. non

### Probability

The average stock price for companies making up the S&P 500 is \$30, and the standard deviation is \$8.20. Assume the stock prices are normally distributed. a. What is the probability a company will have a stock price of at least \$40? b. What is probability a company will have a stock price no higher than \$20? c. How high does

### Probability distribution Consider a Poisson probability distribution with 2 as the average number of occurrences per time period. a. Write the appropriate Poisson probability function. b. What is the average number of occurrences in three time periods? c. Write the appropriate Poisson probability function to determinate the probability of x occurrences in three time periods d. Find the probability of 2 occurrences in one time period e. Find the probability of 6 occurrences in 3 time periods f. Find the probability of 5 occurrences in 2 time periods

Consider a Poisson probability distribution with 2 as the average number of occurrences per time period. a. Write the appropriate Poisson probability function. b. What is the average number of occurrences in three time periods? c. Write the appropriate Poisson probability function to determinate the probability of x occurren