Exam 5: A Sulvey of Probability Concepts

i. A binomial distribution has a characteristic that an outcome of an experiment is classified into one Of two mutually exclusive categories (a success or a failure). ii. A binomial distribution has the characteristic that the probability of a success stays the same for Each trial, but the probability of a failure varies from trial to trial. iii. The mean of a binomial probability distribution can be determined by multiplying the probability Of a failure by the number of trials.

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 none of the keyboards are defective?

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 will show that The above three food items were ordered?

Which is true for a binomial distribution?

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

(i. If π = 1/3 and n = 900, the mean of this binomial distribution is 300. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

What must you know to develop a binomial probability distribution?

(i. To construct a binomial distribution we need to know the total number of trials and the probability Of a success. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

When a household is randomly selected, the probability distribution for the number x of cars owned Is as described in the accompanying table. Find the mean and standard deviation of the probability distribution.

A statistic professor finds she averages five e-mail messages per day from students. Assume the Number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have no messages?

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of Four every five minutes, what is the probability that more than four customers arrive in a five minute Period?

i. The random variable for a Poisson probability distribution is discrete. ii. The Poisson probability distribution is always negatively skewed. iii. The Poisson probability distribution has the same four characteristics as the binomial, but in Addition, the probability of a success (π) is small and the number of trials (n) is relatively large.

A multiple-choice test consists of five questions, each with A-E answers. If you guess the answer to Each question, what is the probability of getting four or more questions correct?

(i. To construct a binomial distribution we need to know the total number of trials and the probability Of a success. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is 20.

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates Go to college. From 10 graduates selected at random, calculate the probability that none will go to College.

i. The mean of a binomial distribution is the product of the probability of success and the number of Repetitions of the experiment. ii. The binomial probability distribution is always negatively skewed. iii. A binomial distribution has the characteristic that the probability of a success stays the same for Each trial, but the probability of a failure varies from trial to trial.

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 exactly one woman is selected?

(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 not the same on each trail.

i. A random variable is assigned numerical values based on the outcomes of an experiment. ii. A random variable is a quantity resulting from a random experiment that can assume different Values by chance. iii. The mean of a probability distribution is referred to as its expected value.

i. The probability of a particular outcome, designated X, must always be between 0 and 100 Inclusive. ii. A random variable is a quantity resulting from a random experiment that can assume different Values by chance. iii. The mean of a probability distribution is referred to as its expected value.