Exam 5: A Sulvey of Probability Concepts

Affirmative action commitments by industrial organizations have led to an increase in the number of Women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that no woman is selected?

(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes. (ii. The Poisson distribution or, the law of improbable events, has positively skewed shape. (iii) In a Poisson distribution each trail is independent.

i. A probability distribution is a mutually exclusive listing of experimental outcomes that can occur by Chance and their corresponding probabilities. ii. The probability of a particular outcome, designated X, must always be between 0 and 10 Inclusive. iii. The standard deviation of a probability distribution is referred to as its expected value.

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at Random. What is the probability that sixteen or more customers will want hot peppers?

If the variance is 3.6 grams, what is the standard deviation?

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates Go to college. From 20 graduates selected at random, what is the probability that exactly 8 will go To college?

i. For a binomial distribution, each trial has a known number of successes. For example, a four Question multiple-choice test can only have zero, one, two, three and four successes (number Correct). ii. To construct a binomial probability distribution, the number of trials and the probability of success Must be known. iii. A binomial distribution has a characteristic that the trials are independent, which means that the Outcome of one trial does not affect the outcome of any other trial.

A multiple-choice test consists of ten questions, each with A-E answers. If you guess the answer to Each question, how many questions can you expect to get correct? Also find the standard deviation Of the number of questions you can expect to get correct.

The weight of an offensive linesman may be 205.15 pounds, 210.23 pounds, 225.05 pounds or 219)14 pounds. What is this an illustration of?

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at Random. What is the probability that fifteen or more customers will want hot peppers?

David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a Credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period Twenty-five customers buy gasoline at this station. What is the probability that no more than twenty pay in cash?

If n = 100 and p = 1/5, determine the mean and standard deviation of this binomial distribution.

An insurance agent has appointments with four prospective clients tomorrow. From past experience The agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the Rules of probability, what is the likelihood that the agent will sell a policy to at least 3 of the 4 Prospective clients?

Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that The probability that a motorist will have an accident during the weekend and file a claim is 0.00555. Suppose they wrote 400 policies for the coming weekend, approximately how many claims could They expect to be filed?

(i. A discrete random variable can assume only a certain number of separated values. (ii. The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must Equal one. (iii) In a binomial experiment, the probability of a failure equals the probability of success.

The information below is the number of daily emergency assists made to skiers by the volunteer ski Team at Alpine Ski Lodge for the last 50 days. To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which There were 3 emergency assists. Convert this information to a probability distribution, and determine the mean number of assists per day.

Which of the following is a requirement for use of the hypergeometric distribution?

The information below is the number of daily emergency assists made to skiers by the volunteer ski Team at Alpine Ski Lodge for the last 50 days. To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which There were 3 emergency assists. Convert this information to a probability distribution, and determine the mean number of assists per day.

David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a Credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period Twenty-five customers buy gasoline at this station. What is the probability that more than ten and less than fifteen customers pay in cash?

A company is studying the number of monthly absences among its 125 employees. The following Probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last Month. Given the probability distribution, which of the following predictions is correct?