Exam 5: A Sulvey of Probability Concepts

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. What is the mean number of days absent?

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. This situation is an example of what type of discrete probability distribution?

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. This situation is an example of what type of distribution?

Which one of the following is NOT a condition of the binomial distribution?

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 exactly ten customers will ask for hot peppers?

(i. A random variable with a Poisson distribution has one of two mutually exclusive values. (ii. For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is the same on each trail.

When surveyed for brand recognition, 98% of consumers recognize Coke. A new survey of 800 Randomly selected consumers is to be conducted. For such a group of 800, determine the mean And standard deviation for the number who recognize the Coke brand name. Considering as Unusual a result that differs from the mean by more than two standard deviations, it (___ (is/is not) ___) unusual to get 775 consumers who recognize the Coke brand name.

A manufacturer of headache medicine claims it is 70 percent effective within a few minutes. That is, Out of every 100 users 70 get relief within a few minutes. A group of 12 patients are given the Medicine. If the claim is true, what is the probability that 8 have relief within a few minutes?

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, High-speed machine are defective. What is the probability that out of six keyboards selected at Random, exactly zero keyboards will be defective?

i. A binomial distribution is a discrete probability distribution. ii. To construct a binomial distribution, it is necessary to know the total number of trials and the Probability of success on each trial. iii. If the probability of success remains the same, but n increases, the shape of the binomial Distribution becomes more symmetrical.

(i. A binomial probability distribution approaches a greater degree of symmetry as probability of Success remains constant and the number of trials becomes larger or greater. (ii. In a binomial experiment, the probability of a failure equals (1 - probability of success). (iii) In a binomial experiment, probability of success or failure remains constant from one trial to Another.

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 at least one woman is selected?

(i. A binomial probability distribution approaches a greater degree of symmetry as probability of Success remains constant and the number of trials becomes larger or greater. (ii. In a binomial experiment, the probability of a failure equals the probability of success. (iii) In a binomial experiment, probability of success or failure remains constant from one trial to Another.

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, High-speed machine are defective. If six keyboards are randomly selected, what is the probability That more than 3 of the keyboards are defective?

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

How is a Poisson distribution skewed?

Sixty percent of the customers of a fast food chain order a hamburger, French fries and a drink. If a Random sample of 15 cash register receipts is selected, what is the probability that 10 or more will Show that the above three food items were ordered?

A marketing solutions poll of mutual funds and fund owners asked fund owners what action they Took after the September 11th 2001 market drop. Sixteen percent of respondents said they bought More funds. If 600 fund owners were polled, calculate the mean and standard deviation of the Number of respondents who bought more funds. Considering as unusual a result that differs from The mean by more than two standard deviations, it (___ (is/is not) ___) unusual that in one of these Polls of 600 fund owners, 100 respondents bought more mutual funds.

(i. A probability distribution relates the expected outcomes of an experiment to the probability of Each one occurring. (ii. The probability of all events in a probability distribution must sum to one. (iii) An infinite population consists of a fixed number of individuals, objects, or measurements.

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 between two and six people inclusive want hot peppers?