Questions on probability distributions  Binomial, Poisson
1 The Kwik Klean Car Wash loses $30 on rainy days and gains $120 on days when it does not rain. If the probability of rain is 0.15, what is the expected value of net profit?
2. The Newman Construction Company bids on a job to construct a building. If the bid is won, there is a 0.7 probability of making a $175,000 profit and there is a probability of 0.3 that the contractor will break even. What is the expected value?
3. Assume that in a binomial experiment, a trial is repeated n times. Find the probability of x successes given the probability p of success on a given trial with n = 12, x = 7 and p = 0.4. (Use Table A1)
4. Several students are unprepared for a true/false test with 50 questions, and all of their answers are guesses. Find the mean, variance and standard deviation for the number of correct answers for such students.
5. A statistics professor finds that when she schedules an office hour for student help, an average of two students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is five.
1. The Kwik Klean Car Wash loses $30 on rainy days and gains $120 on days when it does not rain.
If the probability of rain is 0.15, what is the expected value of net profit?
Expected profit=15%*(30)+(115%)*(120)=
$97.50
2. The Newman Construction Company bids on a job to construct a building.
If the bid is won, there is a 0.7 probability of making a $175,000 profit and there is a probability
of 0.3 that the ...
Solution Summary
The solution provides answers to questions on probability distributions  binomial, Poisson.
1. Compute the following and show your steps. 3! รท (0!*3!)
2. Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vicepresident and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club memb
Objective: Calculate binomial and Poisson probabilities.
1) Chapter 5: Problem 5.5 (binomial)
Solve the following problems by using the binomial formula.
a. If n = 4 and p = .10 , find P(x = 3) .
b. If n = 7 and p = .80 , find P(x = 4) .
c. If n = 10 and p = .60 , find P(x ≥ 7) .
d. If n = 12 and p = .45
Examples of the binomial and Poissondistributions are all around us.
 Identify a reallife example or application of either the binomial or poisson distribution.
 Specify how the conditions for that distribution are met.
 Suggest reasonable values for n and p (binomial) or mu (poisson) for your example.

Share 1 realworld binomial distribution situation and 1 realworld Poisson distribution situation. Be sure to explain why each example is defined as binomial or Poisson. How would you characterize the difference between the two types of distributions?
Please use words to describe the solution, not just symbols. (basically, explain what is going on in addition to an answer) Use a math symbol editor where appropriate.
Problem 1:
Write a program to compute binomial probabilities and compare the results with the Poisson approximation for the following cases:
a) P(X = 2)
Suppose you, as the manager of Tennessee Grilled Pork. would like to ensure you have enough cleaning staff for your dining room and would like to analyze data for customers who enter the restaurant to place and order and either eat in the restaurant or take their order to go. If the probability that a customer will stay in the
Define probabilitydistributions. Describe two common probabilitydistributions.
Looking for a good original (yet cited) response to this definition. And if you can describe two common ones with an example for each that would be great.
Please summarize the differences between the following and when they are used or what they are applied to:
1. Hypergeometric Distribution
2. Poisson Distribution
3. Binomial Distribution
4. Negative Binomial Distribution
5. Geometric Distribution
6. Uniform Distribution
The random variable X has a Poisson distribution with a mean of 5. The random variable Y has a binomial distribution with n=X and p=1/2.
a) Find the mean and variance of Y.
b) Find P(Y=0)
A baseball team loses $10,000 for each consecutive day it rains, Say X, the number of consecutive days it rains at the beginning of the season, has a Poisson distribution with mean 0.2. What is the expected loss before the opening game?
An airline always overbooks if possible. A particular plane has 95 seats on a flight in wh