Question

The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.38.

Please give your answers to two decimal places. Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds

Answer #1

1.if a is uniformly distributed over [−12,24], what is the
probability that the roots of the equation x2+ax+a+24=0 are both
real?
Hint: The roots are real if the discriminant in the quadratic
formula is positive.
2.The time (in minutes) between arrivals of customers to a post
office is to be modelled by the Exponential distribution with mean
.38. Please give your answers to two decimal places.
Part a)
What is the probability that the time between consecutive customers
is less...

Suppose that the time between arrivals of customers at a bank
during the noon-to-1 p.m. hour has a uniform distribution between
0 and 30 seconds. a. What is the probability that the time between
the arrivals of two customers will be less than 14 seconds? b.
What is the probability that the time between the arrivals of two
customers will be between 11 and 19 seconds? c. What is the
probability that the time between the arrivals of two customers...

Customers arrive at
random times, with an exponential distribution for the time between
arrivals. Currently the mean time between customers is 6.34
minutes. a. Since the last customer arrived, 3 minutes have gone
by. Find the mean time until the next customer arrives.
b. Since the last
customer arrived, 10 minutes have gone by. Find the mean time until
the next customer arrives.

The time between arrivals at a toll booth follows an
exponential distribution with a mean time between arrivals of 2
minutes.
What is the probability that the time between two successive
arrivals will be less than 3 minutes?
What is the probability that the time will be between 3 and 1
minutes?

The time between arrivals of vehicles at a particular
intersection follows an exponential probability distribution with a
mean of 10 seconds. (a) Sketch this exponential probability
distribution.
(b) What is the probability that the arrival time between
vehicles is 10 seconds or less? (Round your answer to four decimal
places.)
(c) What is the probability that the arrival time between
vehicles is 4 seconds or less? (Round your answer to four decimal
places.)
(d) What is the probability of 30...

2. The waiting time between arrivals at a Wendy’s drive-through
follows an exponential distribution with ? = 15 minutes. What is
the distribution of the number of arrivals in an hour?
a. Poisson random variable with μ=15
b. Poisson random variable with μ=4
c. Exponential random variable with ?=15
d. Exponential random variable with ?=4

Let X be the time between successive arrivals to an intersection
in a rural area. Suppose cars arrive to the intersection via a
Poisson process at a rate of 1 every 5 minutes.
(a) What distribution does X have?
(b) What is the mean time between arrivals?
(c) What is the probability that more than 7 minutes will pass
between arrivals to the intersection?

Let X = the time between two successive arrivals at the drive-up
window of a local bank.
Suppose that X has an exponential distribution with an average
time between arrivals of 4
minutes.
a. A car has just left the window. What is probability that it
will take more than 4 minutes before the next drive-up to the
window?
b. A car has just left the window. What is the probability that
it will take more than 5 minutes before...

Agan Interior Design provides home and office decorating
assistance to its customers. In normal operation, an average of 3.2
customers arrive each hour. One design consultant is available to
answer customer questions and make product recommendations. The
consultant averages 12 minutes with each customer.
Compute the operating characteristics of the customer waiting
line, assuming Poisson arrivals and exponential service times.
Round your answers to four decimal places. Do not round
intermediate calculations.
Lq =
L =
Wq = minutes
W = minutes...

Agan Interior Design provides home and office decorating
assistance to its customers. In normal operation, an average of 2.7
customers arrive each hour. One design consultant is available to
answer customer questions and make product recommendations. The
consultant averages 10 minutes with each customer.
Compute the operating characteristics of the customer waiting
line, assuming Poisson arrivals and exponential service times.
Round your answers to four decimal places. Do not round
intermediate calculations.
Lq =
L =
Wq = ____minutes
W...

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