Exam 7: B: Random Variables and Discrete Probability Distributions

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. -{Unsafe Levels of Radioactiviy Narrative} Find the probability that there will be at least 1 incident in a year.

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

The possible values of a Poisson random variable start at ____________________.

911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. -{911 Phone Calls Narrative} Find the probability of receiving two calls in a five-minute interval of time.

Given a Poisson random variable X,where the average number of successes occurring in a specified interval is 1.8,then P(X = 0)is:

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

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. -{Unsafe Levels of Radioactivity Narrative} Find the standard deviation of the number of incidents is in one year.

A community college has 150 word processors.The probability that any one of them will require repair on a given day is 0.025.To find the probability that exactly 25 of the word processors will require repair,one will use what type of probability distribution?

The mean of a Poisson distribution,where $\mu$ is the average number of successes occurring in a specified interval,is $\mu$ .

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. -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be at least 3 incidents in a year.

A Poisson random variable is a(n)____________________ random variable.

The Sutton police department must write,on average,6 tickets a day to keep department revenues at budgeted levels.Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.5 tickets per day.Interpret the value of the mean.

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -Suppose that the number of buses arriving at a Depot per minute is a Poisson process.If the average number of buses arriving per minute is 3,what is the probability that exactly 6 buses arrive in the next minute?

On the average,1.6 customers per minute arrive at any one of the checkout counters of Sunshine food market.What type of probability distribution can be used to find out the probability that there will be no customers arriving at a checkout counter in 10 minutes?

Which of the following cannot have a Poisson distribution?

The number of accidents that occur at a busy intersection in one month is an example of a Poisson random variable.

The ____________________ of a Poisson distribution is the rate at which successes occur for a given period of time or interval of space.

In a Poisson experiment,the number of successes that occur in any interval of time is ____________________ of the number of success that occur in any other interval.

911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. -{911 Phone Calls Narrative} Find the probability of receiving exactly eight calls in 15 minutes.

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