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# Probability

### Normal Distribution and Populations

Please help with the following problems involving normal distribution and populations. Based off the three requirements that must be met before an analysis of variance test (ANOVA) can be used: 1. Samples must be randomly selected from the populations to be evaluated. 2. All populations from which the samples are selected

### Binomial Distribution

Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5. Find the probability that x = 2 using the binomial tables. Use the normal approximation to find the probability that x = 2

### Binomial random variable

A study consists of randomly selecting 14 newborn babies and counting the number of girls. If we assume that boys and girls are equally likely and if we let x=number of girls among 14 babies, then x is a random variable because its values depends on chance. The possible values of x are 0,1,2,...,14. The Below table lists the val

### Probability: Expected Value and Decision Analysis

Expected Value and Decision Analysis: 1- In a certain state lottery, a lottery ticket cost \$8. In terms of the decision to purchase or not to purchase a lottery ticket, suppose that the following payoff table applies: State of nature Decision alternative Wins s1 Lose s2 P

### Probability and Logical Conclusion

Please provide formulas and logical conclusions for each. Include step by step calculations for each. 8. If the probability of having a boy is .47, find the following a. For families with 10 children i. The mean for the number of boys in a family ii. The standard deviation for the number of boys iii. The probability of h

### Probability and Decision Making

1- A pharmaceutical company conducted a study to evaluate the effect of an allergy relief medicine. 200 patients with symptoms that included itchy eyes and a skin rash received the new drug. The results of the study are as follows: 90 of the patients treated experienced eye relief 135 had their skin rash clear up, and

### The Probability of X as a Normal Distributed Random Variable

Please help me to answer the given problem in detail: Let X be a normal distributed random variable with u=100 and o=10. The probability that X is between 70 and 100 is: a. 8% b. 84% c. 95% d. The answer not listed

### Probability

I have two pair of black shoes in the closet, a loafer and a tied pair. I am in a hurry getting dressed and the light burns out in the closet. As these are the only shoes in the closet, I reach in and grab two. What is the probability that they match (i.e. l and r loafer, or l and r tie - wearing a tie and a loafer is a f

### Poisson and Population Distribution

Banner Mattress and Furniture Company wishes to study the number of credit applications received per day for the last 300 days. To interpret, there were 50 days on which no credit applications were received, 77 days on which only one application was received, and so on. Would it be reasonable to conclude that the population

### Which would surprise you more: (1) she predicts at least 8 out of 10 correctly, or (2) she predicts at least 6 out of 10 correctly on each of 4 separate occasions? Answer by assuming that (1) she really is guessing and (2) each day the Dow is equally likely to go up or down.

A person claims that she is a fortune teller. Specifically, she claims that she can predict tha direction of the change (up or down) in the Dow Jones Industrial Average for the next 10 days (such as U, U, D, U, D, U, U, D, D, D). (You can assume that she makes all 10 predications right now, although that won't affect your answ

### Population

Sevilla & Somers text. Topic 6, exploration 8b 8. Consider the formula P = 67.38 ? (1.026)t. If we let P represent the population of Mexico in year t where t is the number of years from 1980, confirm that this formula gives the same population values as those given in the table in Example 6.5. b. What would the population

### Binomial distribution probabilities

Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 10 antennas, use the binomial distribution to find the probability that: a. None of the antennas is defective. b. Three or more of the antennas are defective. c. At most 3 are defective. d. All 10 antennas are defecti

### Payoff Table Alternatives

Blossom's Flowers purchases roses for sale for Valentine's Day. The roses are purchased for \$10 a dozen and are sold for \$20 a dozen. Any roses not sold on Valentine's Day can be sold for \$5 per dozen. The owner will purchase 1 of 3 amounts of roses for Valentine's Day: 100, 200, or 400 dozen roses. The number of alternatives fo

### Mean of a Discrete Probability Distribution

A random sampling of financial analysts was asked to provide forecasts of earnings per share of a corporation's stock for the next year. The results are summarized as follows: Forecast (\$ per share) # Analysts Mi FiMi \$8 < \$10 2 Analysts \$10 < \$12 3 Analysts \$12 < \$14

How can the binomial distribution be used in a business situation? What type of data would you use and what would you learn from this?

### Choosing Shoes

I have two pair of black shoes in the closet, a loafer and a tied pair. I am in a hurry getting dressed and the light burns out in the closet. As these are the only shoes in the closet, I reach in and grab two. What is the probability that they match (i.e. l and r loafer, or l and r tie - wearing a tie and a loafer is a fashion

### Picking a Card in a Game

A situation is presented where you have to pick the queen out of 3 cards, the other two are Aces. The person running the game asks you to pick a card, you do, and he turns over a card that you didn't pick to show it was an ace. He then offers you the choice to keep your card or choose the third card. Using your knowledge of p

### The Probability for Electrical Power and Bond Funds

1. A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on 1-hour flight is 0.02. What is the probability that (a) Both will fail? (b) Neither will fail? (c) One or other will fail? 2. The contingency table belo

### Probability

1) Two cards are drawn from an ordinary deck of 52 cards find the probability of each event showing your reasoning carefully a. two aces b. two red cards c. two red aces d. two honor cards (A, K, Q, J, 10). 2) A certain airplane has two independent alternators to provide electrical power the probability that a given alt

### What percent of the flights are sold out? On what percent of the flights does the airline make money? Below what number of passengers on a flight will the airline reduce the number of flight attendants?

Landrum Airline flies the route between Chicago and Pittsburgh. The mean number of passengers per flight is 160 with a standard deviation of 20. The aircraft used for the route has 200 seats. a. What percent of the flights are sold out? b. The airline must sell 150 seats to break even on this particular flight. On what perce

### Continuous Probability Distributions: Normal Distribution

Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution. The mean of the distribution was 60,000 miles and the standard deviation 2,000 miles. a. What percent of the Ford S

### Frequency of Emails Determined Using the 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 Probability Example Problem

1. The amounts of money requested on home loan applications at Federal Savings follow the normal distribution, with a mean of \$270,000 and a standard deviation of \$35,000. A loan application is received this morning. What is the probability: a. The amount requested is \$270,000 or more? b. The amount requested is \$300,000 or

### Probability...

Find the probability P(z < -0.46) using the standard normal distribution. A) 0.5400 B) 0.6772 C) 0.3228 D) 0.8228

### Normal distribution ...

WNAE, an AM station totally dedicated to deliver news, found that while the Distribution of listeners tune in the station follows the normal Distribution. Distribution of the average is 15.0 minutes and standard deviation is 3.5. What is the probability that a particular listener in tune to the station at: a)more than 20 minute

### Normal probability

A normal population has an average of 80 and a standard deviation of 14.0. Calculate the probability of a value between 75.0 and 90.0. Calculate the probability of a value of 75.0 or less. Calculate the probability of a value between 55.0 and 70.0.

### Calculation of probability based on Z score

A normal population has an average of 80 and a standard deviation of 14.0. Calculate the probability of a value between 75.0 and 90.0. Calculate the probability of a value of 75.0 or less. Calculate the probability of a value between 55.0 and 70.0.

### Probability Distributions for the American Intellectual Union

Compose an email to the head of the American Intellectual Union which discusses the following: Begin your email to AIU by first providing an overview of the database, i.e. a story. Be sure to include information about how you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals. Be s

### Find probabilities regarding the sample mean when sampling from a normal probability distribution

The mean amount purchased by a typical customer at Churchill's Grocery Store is \$23.50 with a standard deviation of \$5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. a. What is the likelihood the sample mean is at least \$25.00? b.

### Probability Calculation Problem Based on Binomial Distribution

According to an Internet posting, 80% of adults enjoy drinking beer. If a group of 3 adults is selected at random, find the probability that none of them enjoy drinking beer. Place your answer, rounded to three decimal places, in the blank. Simply provide the numerical value. For example, 0.123 would be a legitimate entr