Geometric and Poisson Distributions

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.