Question

The number of cars passing through a toll plaza follows a poison distribution with a rate of lambda = 90000 cars per day. The lowest cost of passing through the toll is 2.10 Euro. What is the probability that more than 187950 Euros is collected in tolls on a given day?

Answer #1

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The number of cars passing through a toll plaza follows a poison
distribution with a rate of lambda = 90000 cars per day. Assuming
that days are independent, what is the probability that more than
451,000 cars pass through the toll plaza in a 5 day period?

The speed of cars passing through the intersection of Blossom
Hill Road and the Almaden Expressway varies from 12 to 35 mph and
is uniformly distributed. None of the cars travel over 35 mph
through the intersection.
a. In words, define the Random Variable
X.
b. Give the distribution of X.
d. Enter an exact number as an integer,
fraction, or decimal.
f(x)= ? where <or equal to X <or equal to
e. Enter an exact number as an integer,...

The number of cars that arrive at a certain
intersection follows the Poisson distribution with a rate of 1.9
cars/min. What is the probability that at least two cars arrive in
a 2 minutes period?

For each probability and percentile problem, draw the
picture.
The speed of cars passing through the intersection of Blossom
Hill Road and the Almaden Expressway varies from 15 to 35 mph and
is uniformly distributed. None of the cars travel over 35 mph
through the intersection.
Part (i)
State "P(19 < X < 59) = ___" in a probability question.
What is the probability that the speed of a car is exactly 19 or 59
mph?
What is the probability...

1. For each probability and percentile problem, draw the
picture.
The speed of cars passing through the intersection of Blossom Hill
Road and the Almaden Expressway varies from 14 to 35 mph and is
uniformly distributed. None of the cars travel over 35 mph through
the intersection.
Part (f)
σ =
Part (i) State "P(22 < X < 59) = ___" in
a probability question.
Draw the picture and find the probability. (Enter your answer as
a fraction.)
Part (j)...

Let X be the number of cars per minute passing a certain point
of some road between 8 A.M. and 10 A.M. on a Sunday. Assume that X
has a Poisson distribution with mean 5. Find the probability of
observing 4 or fewer cars during any given minute.
Why do I have to use P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)
instead of 1-P(X=5) for the solution?

The number of people entering the intensive care unit of a
hospital follows Poisson distribution
with the average rate of five people per day
The probability that three people will enter intensive care unit
on one particular day is _________
The probability that at least one person will enter intensive care
unit on one particular day is________________

the number of hours an American adult watches tv follows a
normal distribution with an average of 6.9 hours a day with a
standard deviation of .68 hours. If we take a random sample of 13
American adults what is the probability they have a sample mean
less than 7.5 hours per day?

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...

Say that the number of requests for towing from OU Parking
Services follows a Poisson distribution with a rate of four per
hour. a. What is the probability that exactly 10 students, staff,
and faculty get their cars towed in a two-hour period? b. If the
towing operators take a 30-minute lunch break, what is the
probability that they do not miss any calls from OU Parking?

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