Question

the mean number of an accidents at wigwam and spencer intersection is 2 per year.

What is the probability of exactly 3 accidents?

what is the probability of at least 3 accidents?

what is the probability of zero accidents?

what is the probability of less than 2 accidents?

what is the probability of greater than 2 accidents?

Answer #1

Suppose that the average number of accidents at an intersection
is 2 per month.
a) Use Markov’s inequality to find a bound for the probability
that at least 5 accidents will occur next month.
b) Using Poisson random variable (λ = 2) calculate the
probability that at least 5 accidents will occur next month.
Compare it with the value obtained in a).
c) Let the variance of the number of accidents be 2 per month.
Use Chebyshev’s inequality to find...

There is an average of four accidents per year at a particular
intersection. What is the probability of more than one accident
there next month? Hint: Use 1 month = 1/12 of a year to first get
the number of accidents that are expected next month.

The number of accidents that occur at a busy intersection is
Poisson distributed with a mean of 3.9 per week. Find the
probability of the following events.
A. No accidents occur in one week. Probability =
B. 3 or more accidents occur in a week. Probability =
C. One accident occurs today. Probability =

The number of traffic accidents at a certain intersection is
thought to be well modeled by a Poisson process with a mean of 3.5
accidents per year
If no accidents have occurred within the last six months, what
is the probability that an accident will occur within the next
year?

the number of accidents on a particular highway average 4.4 per
year. assume that the number of accidents follows a Poisson
distribution. what is the probability that there are exactly four
accidents next year? what is the probability that there are more
than three accidents next year?

Suppose that the number of accidents occurring on a highway per
hour follows a Poisson distribution with a mean of 1.25.
What is the probability of exactly three accidents occur in
hour?
What is the probability of less than two accidents in ten
minutes?
What is the probability that the time between two successive
accidents is at least ten minutes?
If ten minutes have gone by without an accident, what is the
probability that an accident will occur in the...

Suppose that the number of accidents occurring on a highway per
hour follows a Poisson distribution with a mean of 1.25.
What is the probability of exactly three accidents occur in
hour?
What is the probability of less than two accidents in ten
minutes?
What is the probability that the time between two successive
accidents is at least ten minutes?
If ten minutes have gone by without an accident, what is the
probability that an accident will occur in the...

1)The annual number of industrial
accidents occurring in a particular manufacturing plant is known to
follow a Poisson distribution with mean 12.
What is the probability of observing of observing exactly 12
accidents during the coming year?
What is the probability of observing no more than 12 accidents
during the coming year?
What is the probability of observing at least 15 accidents
during the coming year?
What is the probability of observing between 10 and 15 accidents
(including 10 and...

8. The city of Fastville has been experiencing a mean of 73 car
accidents per year.
1) Find the probability that on a given day the number of car
accidents in Fastville is 2. (Assume 365 days in a year.) Round
your answer to four decimal places.
2) Find the probability that on a given day the number of car
accidents in Fastville is more than one. Round your answer to four
decimal places.
3) Find the minimum and the...

Lost-time accidents occur in a company at a mean rate of 0.6 per
day. What is the probability that the number of lost-time accidents
occurring over a period of 10 days will be at least 2? Round your
answer to four decimal places.

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