Exam 6: Random Variables and Discrete Probability Distributions

A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new on-line class, what is the probability that all 4 students selected are traditional students?

Retries: The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. -What is the standard deviation of the number of retries?

In a Poisson distribution, the:

The probability of a failure in a binomial experiment is denoted by ____________________.

Which of the following about the binomial distribution is not a true statement?

In the Poisson distribution, the mean is equal to the ____________________.

The variance of a binomial distribution for which n = 50 and p = 0.20 is 8.0.

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the probability that there will be at least 3 incidents in a year.

Number of Horses: The random variable X represents the number of horses per family in a rural area in Iowa, with the probability distribution: p(x) = 0.05x, x = 2, 3, 4, 5, or 6. -Express the probability distribution in tabular form.

A motorcycle insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for motorcycle insurance. The number of tickets a person has received in the last 3 years is an example of a(n) ____________________ random variable.

The number of customers arriving at a department store in a 5-minute period has a Poisson distribution.

The Poisson probability distribution is a continuous probability distribution.

A Poisson random variable is the number of successes that occur in a period of ____________________ or an interval of ____________________ in a Poisson experiment.

To find the probability that X is at most 10, you should find the probability that X is 10 or ____________________.

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the probability that there will be at least 1 incident in a year.

Retries: The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. -What is the mean or expected value for the number of retries?

A(n) ____________________ random variable is one whose values are countable.

In a Poisson distribution, the mean and standard deviation are equal.

In the Poisson distribution, the ____________________ is equal to the variance.

Shopping Outlet: A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. -Calculate the expected value of Y directly from the probability distribution of Y.