Chapter 6. Discrete Probability Distributions

Which of the following statements best describes a probability distribution? A list of the outcomes of a random experiment and the probability of each outcome. A listing of the least likely and most likely outcomes of a random experiment. A diagram that has branches extending from a root and a set of branches represents stages.

A list of the outcomes of a random experiment and the probability of each outcome.

Jerry rolls a pair of dice and counts a total of 7 dots on the uppermost faces of the dice. Are these matched correctly? Experiment -> Rolling the dice and counting the dots Outcome -> Getting dice that total 7 Event -> Getting a 4 on one die and a 3 on the other Random Variable -> The number of dots showing

Experiment -> Rolling the dice and counting the dots Outcome -> Getting a 4 on one die and a 3 on the other Event -> Getting dice that total 7 Random Variable -> The number of dots showing

Which of the following statements describes the relationship between the poison distribution in the binomial distribution? It is a form of the binomial distribution that occurs when the sample size and is very large, and the probability of success is close to 0.5. It is a limiting form of the binomial distribution when the sample size is a large part of the population. It is a limiting form of the binomial distribution when the probability of success is very small in the sample is very large.

It is a limiting form of the binomial distribution when the probability of success is very small in the sample is very large.

Choose the random variable from this set that are discrete. Select all that apply. The number of concert tickets sold. The number of people riding on a bus. The lifespan of a parakeet. The height of a person from a class of eight.

The number of concert tickets sold. The number of people riding on a bus.

Which one of the following would be an example of a poisson probability experiment? The number of customers calling customer support between 6 and 8 AM. The wait time of a customer at the emergency room. The number of students living off campus for me random sample of six students.

The number of customers calling customer support between 6 and 8 AM.

Choose the statements that describe characteristics of a probability distribution? Select all that apply. Half of the possible outcomes have associated probabilities grater than 0.5. The probability of an outcome is between 0 and 1. The sum of the probabilities of all possible outcomes is 1. The distribution is symmetrical. The outcomes are mutually exclusive.

The probability of an outcome is between 0 and 1. The sum of the probabilities of all possible outcomes is 1. The outcomes are mutually exclusive.

Which of the following statements describe the poison distribution? Select all that apply. The random variable is the number of occurrences during an interval. The probability of an individual event occurring is quite large. The intervals do not overlap and are independent. The probability of the event is proportional to the interval size.

The random variable is the number of occurrences during an interval. The intervals do not overlap and are independent. The probability of the event is proportional to the interval size.

From the following list: Choose the random variables that are continuous. Select all that apply. The number of students attending a lecture. The tire pressure of a tire on a randomly selected automobile. The number of clubs in a poker hand. The amount of time a lightbulb lasts.

The tire pressure of a tire on a randomly selected automobile. The amount of time a lightbulb lasts.

Which of the following statements also describe features of a bimodal experiment? Select all that apply. The random variable is a continuous variable. The distribution is always symmetrical. Trials are independent. The outcome of a trial can be classified as either a success or failure.

Trials are independent. The outcome of a trial can be classified as either a success or failure.

A bimodal experiment consist of tossing 10 coins in observing the number of "heads" that land face up. Identify any questions from the list that would usually be answered by using a cumulative probability distribution. Select all that apply. What is the chance of four or if you were "heads"? What is the probability of six or more "heads"? What is the probability of a of exactly 6 "heads"? What is the probability that all 10 coins will be "heads"? What is the probability of no successes?

What is the chance of four or if you were "heads"? What is the probability of six or more "heads"?

It is easier to use a bimodal probability table instead of calculating the probability under what circumstances?

When n is large.

Which of the following is NOT true about bimodal probability calculations? When the number of successes equals 0, the probability is (1-pi)^n. When the number of successes equals the number of trials, the probability is pi^x. When x is greater than n, the probability is less than 0.

When x is greater than n, the probability is less than 0.

A random variable can be defined as:

a variable observed as a result of an experiment whose value is based on chance.