Question

The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that, in any seven-day week, the computer will crash more than 4 times? Round your answer to four decimal places.

Answer #1

TOPIC:Poisson distribution.

the
computer that controls a banks automatic teller machine crashes a
mean of 0.4 times per day. what is the probability that in any
seven day week the computer will crash more than 5 times

The times per week a student uses a lab computer are normally
distributed, with a mean of 6.2 hours and a standard deviation of
1.3 hours. A student is randomly selected. Find the following
probabilities.
(a) Find the probability that the student uses a lab computer
less than 4 hours per week.
(b) Find the probability that the student uses a lab computer
between 6 and 8 hours per week.
(c) Find the probability that the student uses a lab...

Many of a bank’s customers use its automatic teller machine to
transact business after normal banking hours. During the early
evening hours in the summer months, customers arrive at a certain
location at the rate of one every other minute. This can be modeled
using a Poisson distribution. Each customer spends an average of 94
seconds completing his or her transactions. Transaction time is
exponentially distributed.
a. Determine the average time customers spend at the machine,
including waiting in line...

The number of spam emails received each day follows a Poisson
distribution with a mean of 50. Approximate the following
probabilities. Apply the ±½ correction factor and round value of
standard normal random variable to 2 decimal places.
Round your answer to four decimal places (e.g. 98.7654).
(a) More than 50 and less than 60 spam emails in a
day.
(b) At least 50 spam emails in a day.
(c) Less than 50 spam emails in a day.
(d) Approximate...

Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 24 customers
per hour or 0.4 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 36 customers per hour, or 0.6
customers per minute. Determine the probabilities...

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...

Problem 11-04 (Algorithmic)
Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 24 customers
per hour or 0.4 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 36 customers per hour, or 0.6
customers per minute....

Trucks in a delivery fleet travel a mean of 120miles per day
with a standard deviation of 10miles per day. The mileage per day
is distributed normally. Find the probability that a truck drives
between 106and 130 miles in a day. Round your answer to four
decimal places.

Trucks in a delivery fleet travel a mean of 100 miles per day
with a standard deviation of 38 miles per day. The mileage per day
is distributed normally. Find the probability that a truck drives
at least 141 miles in a day. Round your answer to four decimal
places.

Trucks in a delivery fleet travel a mean of 110 miles per day
with a standard deviation of 18 miles per day. The mileage per day
is distributed normally. Find the probability that a truck drives
between 138 and 149mmiles in a day. Round your answer to four
decimal places.

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