WorksheetsPoisson Distribution
Total questions: 15
Worksheet time: 12mins
Assuming that breakdowns in electricity supply occur ramdomly with mean of one breakdown every 10 weeks. Find the probability of at least 2 breakdowns in any period of one week
0.0047
0.9953
0.0002
1.000
0.0045
The mean number of accidents per month at a certain intersection is 3.What is the probability that in any given month exactly 4 accidents will occur at this intersection?
0.815
0.647
0.168
0.352
Poisson distribution expresses the probability of events occurring in a fixed interval of _______ or _______.
time, distance
time, space
distance, space
Paul expected to receive 4 emails in a week.Find the probability of receiving 6 emails for the next 2 weeks?
0.1221
0.1912
0.3134
0.6866
0.8088
Suppose it has been observed that, on average,180 cars per hour pass a specified point on a particular road in the morning rush hour. Due to impending roadworks it is estimated that congestion will occur closer to the city centre if more than 5 cars pass the point in any one minute. What is the probability of congestion occurring?
give your answer to 4 decimal places
(a)
The average number of homes sold by the Acme Realty company is 2 homes per day. What is the probability that exactly 3 homes will be sold tomorrow?
give your answer to 3 decimal places.
(a)
Suppose the average number of lions seen on a 1-day safari is 5. What is the probability that tourists will see fewer than four lions on the next 1-day safari?
give your answer to 4 decimal places
(a)
A shop sells radios at a rate of 2.5 per week.
Find the probability that in a two-week period the shop sells at least 7 radios.
Give your answer to 4 decimal places.
(a)
During office hours, telephone calls to a single telephone in an office come in at an average rate of 18 calls per hour. Assuming that a Poisson distribution can be applied, find the probability that in a 5-minute period there will be fewer than 2 calls.
give your answer to 4 decimal places.
(a)
During office hours, telephone calls to a single telephone in an office come in at an average rate of 18 calls per hour. Assuming that a Poisson distribution can be applied, find the probability that in a 5-minute period there will be more than 3 calls.
give your answer to 4 decimal places.
(a)
Identify the distribution defined:
The number of cars randomly arriving at a car wash during a 20-minute interval.
Poisson
Binomial
Geometric
Hyper geometric
Identify the distribution defined:
If electricity power failures occur with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.
Poisson
Binomial
Geometric
Hyper geometric
Is the following Poisson or binomial distribution:
Hospital records show that of patients suffering from a certain disease,75% die of it. What is the probability that 6 randomly selected patients, 4 will recover?
Poisson
Binomial
Neither
Is the following Poisson or binomial distribution:
In the old days, there was a probability of 0.8 of success in any attempt to make a telephone call.
Poisson
Binomial
Neither
