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# Probability

### Expectated Payoff

If a gambler rolls two dice and gets a sum of four, he wins \$10; and if he gets a sum of three, he wins \$25. The cost to play the game is \$5. What is the expectation of this game? Place your answer, rounded to two decimal places, in the blank. However, if the expected payoff is negative be sure to use a minus sign. For ex

### Understanding Probability

1. A Motor Company has purchased steel parts from a supplier for several years and has found that 10% of the parts must be returned because they are defective. An order of 25 parts is received. What are the mean and standard deviation of the defective parts? A) Mean = 3.5; standard deviation = 2.5 B) Mean = 2

### Probability Calculation for Poisson Distribution

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution. a. What is the probability Linda Lahey, company president, received exactly 1 email between 4 P.M. and

### Binomial

56. Assume the likelihood that any flight on Northwest Airlines arrives within 15 minutes of the scheduled time is .90. We select four flights from yesterday for study. a. What is the likelihood all four of the selected flights arrived within 15 minutes of the scheduled time? b. What is the likelihood that none of the selected

### Probability concepts for Dr. Stallter

Dr. Stallter has been teaching basic statistics for many years. She knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do not do their homework, 60 percent will pass. Mike Fishbaug

### A. Find the overall proportion of hits, and identify the length of the longest streak of hits and the length of the longest streak of misses. Write a paragraph commenting on your proportion of hits and your "streaks." b. Describe how the "streaks" compare for the 50-percent and 75-percent scenarios.

A certain college's men's basketball team is quite accomplished at making free throws. According to the coach, in their most recent season the team made approximately 75 percent of free-throw attempts, and ranked 10th in the country among similar schools in successful free-throw attempts. Set up another new worksheet to simulate

### Mean Weight of Plain Candies

Labeling of M&M Packages Q. M&M plain candies have a mean weight of 0.9147 g and a standard deviation of 0.0369 g (based on Data Set 19 in Appendix C). the M&M candies used on Data Set 19 came from a package containing 1498 candies, and the package label stated that the net weight is 1361 g. (If every package has 1498 cand

### Finding Probability of Temperature Values

Assume the readings on the thermometers are normally distributed with a mean of 0 degress and a standard deviation of 1.00 degree. Find the indicated probability, where z is the reading in degrees. P(z > -2.575) I need to show the work and formula used. Thank you.

### Probability problems

1) Find the probability (type answer as an integer or simplified fraction) of a couple having a baby boy when their fifth child is born, given that the first four children were all boys. Assume boys and girls equally likely. Is the result the same as the probability of getting all boys among five children? 2) When designing

### Probability calculation :Binomial distribution

Approximately 25% of the population belongs to a health maintenance organization (HMO). Assume that for a randomly selected group of 20 adults, the number belonging to an HMO has a binomial distribution. The probability of finding exactly 5 in the 20 who belong to an HMO is.... The probability of finding at least one in th

### Mean Value of Distributed Population

A normal distributed population has a mean of 250 pounds and a standard deviation of 10 pounds. Given n = 20, what is the probability that this sample will have a mean value between 245 and 255 pounds? A) 0.9750 B) 0.4875 C) 0.3830 D) 0.0876

### Probability: Failures, Least Amounts and Joint Probability

1. There are five computers in an office. The probability of failure of a computer is 0.3. What is the probability that (a) there are 3 computers working, and (b) at least three computers working? 2. A computer service company is interested in the number of computers that fail. There are hundreds of computers in use in their

### Statistics Normal Distribution

Assume that the population of heights of male college students is approximately normally distributed with a mean "m" of 68 inches and standard deviation "s" of 3.75 inches. A random sample of 16 heights is obtained: 1.) Describe the distribution of x, height of the college student. 2.) Find the proportion of male college

### Power of a Statistical Test

The power of a statistical test is?: 1) the probability of not rejecting H o when it is false 2) the probability of rejecting H o when it is false

### Calculating Normal Approximation to Binomial Probability

A machine cuts circular filters from large rolls of material. If 7.3% of the filters fail to meet specifications, use the normal approximation to the binomial to compute the probability that a sample of 100 of the filters will contain 5 or fewer that fail to meet specifications.

### How many different flights are possible between Toronto and Hawaii?

The Swansons are planning to fly to Hawaii from Toronto with a stopover in Los Angeles. There are five flights they can take between Toronto and Los Angeles and ten flights between Los Angeles and Hawaii. How many different flights are possible between Toronto and Hawaii?

### A Description of Normal Probability

The Director of Emergency Medicine at Big Mountain Medical Services is studying patient waiting time. Waiting time is defined as the time from when a patient enters the facility until seen by a physician. The study indicates the waiting time follows a normal distribution with a mean of 22 minutes and a standard deviation of 8 mi

### STATISTICS: According to a study the popular belief is 80% of adults enjoy ...

1. According to a study the popular belief is 80% of adults enjoy drinking beer. If 3 adults were chosen at random from this study, what would the probability be that none of them enjoy drinking beer? Explain how you found your answer. 2. A family has 5 children and 1 of them is a boy...the percentage of boy is 1/5, or .020

### Standard Deviation

The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal distribution. The mean yearly amount earned is \$40,000 and the standard deviation is \$5,000. a. What percent of the sales representatives earn more than \$42,000 per year? b. What perce

### Samples and Distribution: Life Insurance Per Household

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.

### Quantitative Decisions: Statistics, Probability, and Game Theory

Please see the attached document for properly formatted questions. 1. Nick has plans to open some pizza restaurants, but he is not sure how many to open. He has prepared a payoff table to help analyze the situation. States of Nature Alternatives Good Market Fair Market Poor Market Open 1 380,000 70,000 -400,000 Op

### Standard deviation and probabilities.

1)Assume x is normally distributed with mean u=15 and standard deviation 0=3. Use the approximate areas beneath the normal curve, as discussed in this section, to answer the following questions. Find p(x<_9) 2)Your high school graduating class had 564 members. Thirty-three percent of these are expected to attend college. The

### Simple random sample of overtime hours

Employees in a large manufacturing plant worked an average of 62.0 hours of overtime last year, with a standard deviation of 15.0 hours. For a simple random sample of n=36 employees and x=the number of overtime hours worked last year, determine the z-score corresponding to each of the following sample means:a)x=55.0 hours b)x=

### Help with Statistics Problem: calculating probability.

297. A new sports car model has defective brakes 15 percent of the time and a defective steering mechanism 5 percent of the time. Let's assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a "lemon." If both of these problems are present, the car is a "h

### Binomial Probability: find probabilities.

5.A marketing firm wants to target people who eat breakfast by sending out a new product. According to recent statistics three in four people eat breakfast. If the marketer sends out samples to 10 people selected at random, Find the probability using the binomial probability distribution formula. (Show all work) a. Exactly

### Statistics & Probability : Sampling

1. On a national standardized test with a normal distribution of scores, a mean of 50, and a standard deviation of 3.2, a student's score is 1.2 standard deviations above the mean. What is the students score? 2. A national achievement test has a normal distribution, a mean of 1000, and a standard deviation of 100. What per

### Probability

Suppose you are dealt a hand of 3 cards twice. What is the probability that you will receive exactly 2 kings in each of the two deals? How many different combinations can there be, such that, you will be dealt exactly two kings?

### Understanding probability distributions and their characteristics.

What shape curve do you get when your data set has the mean, median, and mode all with the same value? Could the value of the sample mean and the value of the population mean ever be the same?

### Calculating probabilities.

Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population is taken. The probability that less than 2 of the 5 are 65 years or older is: A bank lobby has four video cameras positioned to view the entire lobby. Any one of the four is sufficient to monitor th

### Calculating probabilities: 3 questions.

1) The odds of the Dallas Cowboys winning this year's Super Bowl are 3 to 1. Compute the probability of the Cowboys winning a).33 b).25 c).75 d) none. 2) An appliance dealer calculated the proportion of new dishwashers sold that required various numbers of service calls to correct problems during the warranty period. The r