A product’s demand over (L+1) periods follows a Poisson
distribution with mean 3. What order-up-to level...
A product’s demand over (L+1) periods follows a Poisson
distribution with mean 3. What order-up-to level minimizes
inventory while achieving at least a 0.99 in-stock probability? Use
Poisson table.
The number of airplane landings at a small airport
follows a Poisson distribution with a mean rate of 3 landings every
hour.
4.1 (6%)
Compute the probability that 3 airplanes arrive in a
given hour?
4.2 (7%)
What is the probability that 8 airplanes arrive in three
hours?
4.3 (7%)
What is the probability that more than 3 airplanes
arrive in a period of two hours?
If student arrivals to the school dining commons follows the
Poisson distribution with a mean of 50 students per day. For a
randomly selected 36 days: (use 4 digits after decimal
point)
What is the probability that they served breakfast to at least
1757 students during these 36 days? [hint: P(ΣX ≥
1757 students) =?]
The number of complaints received by a company each month
follows a Poisson distribution
with mean 6.
(a) Calculate the probability the company receives no complaint in
a certain week.
(b) Calculate the probability the company receives more than 4
complaints in a 2-week
period.
(c) Over a certain month, calculate the probability the company
receives fewer complaints
than it usually does with respect to its monthly average.
The number of calls that come into a small mail-order company
follows a Poisson distribution. Currently, these calls are serviced
by a single operator. The manager knows from past experience that
an additional operator will be needed if the rate of calls exceeds
15 per hour. The manager observes that 6 calls came into the
mail-order company during a randomly selected 15-minute period. a.
If the rate of calls is actually 20 per hour, what is the
probability that 9...
The number of calls that come into a small mail-order company
follows a Poisson distribution. Currently, these calls are serviced
by a single operator. The manager knows from past experience that
an additional operator will be needed if the rate of calls exceeds
15 per hour. The manager observes that 6 calls came into the
mail-order company during a randomly selected 15-minute
period.
a. If the rate of calls is actually 20 per hour, what is the
probability that 9...
c) Patients arrived at hospital emergency department follows a
Poisson distribution with a mean of 4 patients per hour.
i. In any 90 minutes period of time, find the probability that
exactly 10 patients arrived.
ii. Find the standard deviation of the number of patients
arriving at the hospital.
Occurring a bug in software follows poisson distribution(mean
= 100). Each bug becomes an error independently after certain time
which follows exponential distribution(mean = 10).
When an error appears in system, it will be eliminated
immediately.
(1) After 100 hours, find probability that number of
eliminated errors is 5
(2) Find the expected number of bugs still remain in
software.
(Solving process could be related to binomial
distribution)
Thanks in advance
Let Y denote a random variable that has a Poisson distribution
with mean λ = 3. (Round your answers to three decimal places.)
(a) Find P(Y = 6)
(b) Find P(Y ≥ 6)
(c) Find P(Y < 6)
(d) Find P(Y ≥ 6|Y ≥ 3).
John knows
that monthly demand for his product follows a normal distribution
with a mean of 2,500 units and a standard deviation of 425 units.
Given this, please provide the following answers for
John.
a. What is the
probability that in a given month demand is less than 3,000
units?
b. What is the
probability that in a given month demand is greater than 2,200
units?
c. What is the
probability that in a given month demand is between 2,200...