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Statistics for Management and Economics Study Set 1
Quiz 7: B: Random Variables and Discrete Probability Distributions
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Question 21
Essay
In the Poisson distribution,the ____________________ is equal to the variance.
Question 22
Essay
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. -{Post Office Narrative} Find the probability that the number of arrivals between 3:00 and 5:00 P.M.is at least 10.
Question 23
Essay
The possible values of a Poisson random variable start at ____________________.
Question 24
Essay
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.
Question 25
Essay
A Poisson random variable is a(n)____________________ random variable.
Question 26
Essay
Classified Department Phone Calls A classified department receives an average of 10 telephone calls each afternoon between 2 and 4 P.M.The calls occur randomly and independently of one another. -{Classified Department Phone Calls Narrative} Find the probability that the department will receive seven calls between 2 and 3 P.M.on a particular afternoon.
Question 27
Essay
In the Poisson distribution,the mean is equal to the ____________________.
Question 28
Essay
In a Poisson experiment,the probability of a success in an interval is ____________________ to the size of the interval.
Question 29
Essay
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. -{{Post Office Narrative} Find the probability that the number of arrivals between 4:00 and 5:00 P.M.is exactly two.
Question 30
Essay
In Poisson experiment,the probability of more than one success in an interval approaches ____________________ as the interval becomes smaller.
Question 31
Essay
The ____________________ of a Poisson distribution is the rate at which successes occur for a given period of time or interval of space.
Question 32
Essay
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.
Question 33
Essay
911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. -{911 Phone Calls Narrative} If no calls are currently being processed,what is the probability that the desk employee can take four minutes break without being interrupted?
Question 34
Essay
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 exactly 3 incidents in a year.
Question 35
Essay
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. -{Post Office Narrative} Find the probability that the number of arrivals between 3:30 and 4:00 P.M.is at least 10.
Question 36
Essay
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?
Question 37
Essay
Classified Department Phone Calls A classified department receives an average of 10 telephone calls each afternoon between 2 and 4 P.M.The calls occur randomly and independently of one another. -{Classified Department Phone Calls Narrative} Find the probability that the department will receive at least five calls between 2 and 4 P.M.on a particular afternoon.
Question 38
Essay
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.