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20 questions
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
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.
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
Ronald Properties is a global company specializing in rental office accommodation. An analysis of lease records at their Durban branch has established that, on average, five lease agreements are signed per day for office space in the Durban metropolitan area.
What is the probability that, on a given day, the Durban branch will sign only three lease agreements for office space?
(give your answer o 4 decimal places)
Ronald Properties is a global company specializing in rental office accommodation. An analysis of lease records at their Durban branch has established that, on average, five lease agreements are signed per day for office space in the Durban metropolitan area.
What is the probability that, on a given day, the Durban branch will sign at most two lease agreements for office space?
(give your answer o 4 decimal places)
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 technician is responsible for a large number of machines. Minor adjustments have to be made to these machines and these occur at random and at a constant rate of 7 per hour. Find the probability that in a particular hour the technician makes 4 or fewer adjustments.
give your answers to 4 decimal places.
A technician is responsible for a large number of machines. Minor adjustments have to be made to these machines and these occur at random and at a constant rate of 7 per hour. Find the probability that during a half-hour break no adjustments will be required.
give your answers to 4 decimal places.
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.
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.
The stirring avoids the possible problem of the microbes occurring in clusters. It should mean that they occur independently and singly.
Stirring makes the water clearer and easier to examine.
stirring helps the microbes swim faster so that they can hide in the water and not collected in the sample.
Stirring is a requirement for the experiment.
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
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