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Probability or Number of Possibilities questions

Lotto, a lottery game conducted by the Ohio State Lottery Commission, consisted of selecting six numbers from the 42 numbers 1, 2, ...,41, 42. (No repetitions are allowed, and order does not matter.) The Commission selects by chance the six winning numbers. You pay $1 to play. You get a free ticket if three of your numbers matc

Binomial distribution

Binomial Distribution 1. State a question that can be answered in a "binomial" manner, such as Do you normally read the front page of a newspaper at least 4 times a week? (yes or no). Determine ahead of time whether answers should be recorded or counted as a "yes " or "no". 2. Take a survey. Ask 22 individuals to respo

Probability of Occurrence

A. An activity that yields a result or an outcome is called an ____________________. b. An ________________________is a collection of some of the possible outcomes from the sample space. c. Two events A, B are to be ____________________if they cannot both occur together when an experiment is performed. d. Suppose A, B

Probability of Occurrence of Gender

I. At a certain college 10% of the students are majoring in mathematics, 70% of the student body are female, and 4% of the students are female mathematics majors. Suppose a student is selected by chance. Find the probability that the student is majoring in math given that the student is a female. j. Two events. A, B are ca


A firm plans to hire 100 employees during the year. It expects that 25 of these employees will obtain graduate degrees within the next 5 years of being hired. In addition, 35 employees will leave the firm within 5 years. Of these, 18 will have obtained graduate degrees. 1. What is the probability that a newly hired employee w

Probability based on Norma distribution

The actual weight of 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given this information, the probability of a sack weighing more than 2.40 pounds is 0.4251 True or False?

Risk Analysis Pronability

You are a risk analyst at Max Inc., which operates 15 manufacturing plants in the United States. Industry experts predict that the next year will be a bad one for your industry and 70 percent of the manufacturing plants like yours in the United States will operate at a loss. The CEO of your company has to provide an assessme

Hypergeometric/Binomial Probability Distribution

You are the manager of a softball league in the locality in which there are 5 local teams with 10 people each. The league has been arranged for parity so that each local team has 5 good players and 5 bad players. Another softball league located in another state wants to put together a regional all-star team for a tournament that

Data and Scales of Measures

1. Identify one each of the following data types used in the article above: ordinal, nominal, and ratio. 2. Use MS Excel and information from the Baseball Salaries spreadsheet above to create a single meaningful frequency distribution table with at least 5 separate categories. 3. For each baseball team listed in the workboo

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 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

Formula and logical conclusions 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 having exactly 4 boys iv. The probability of having at least

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

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

Household Sizes of the Standard Family

Compare your household size to the standard family size as reported in the 2000 census. According to that data, the average household size had a mean of 3.14 and standard deviation of 1.12. What is the probability that there is a household size that is greater than yours, what is the probability that there is a household size

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


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


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

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 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

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

Statistics probability

Suppose that 30% of the population has black hair. In a randomly-selected group of six people, how probable is it that a. none of them has black hair? b. more than four of them have black hair?

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

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