Use the binomialprobability formula to determine the probability of x successes in n trials:
n=12, x=5, p=0.25
0.103
0.082
0.091
0.027
The probability is 0.7 that a person shopping at a certain store will spend less than $20. For groups of size 22, find the mean number who spend less than $20.
14.0
6.6
15.4
6.0
A company manufacturers batteries in batches of 18 and there is a 3% rate of defects. Find the standard deviation for the number of defects per batch.
0.721
0.735
0.703
0.724
Use the Poisson Distribution to find the indicated probability.
The number of calls received by a car towing service averages 16.8 per day (per 24hour period). After finding the mean number of calls per hour, find the probability that in a randomly selected hour the number of calls is 2.
0.08516
0.13383
0.12166
0.15208
Solution Summary
The solution gives step by procedure for computing probability from Binomial and Poisson distributions
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?
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
Examples of the binomialandPoissondistributions 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.

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)
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)
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
Objective: Calculate binomialandPoisson 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
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
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