Thread: Poisson distribution please help!

Hi I am taking a statistics course and am having a heck of a time answering these 2 problems, any ganders to assistance is much appreciated!

#1 New Process, Inc., a large mail-order supplier of women's fashions, advertises same-day service on every order. Recently the movement of orders has not gone as planned, and there were a large number of complaints. Bud Owens, director of customer service, has completely redone the method of order handling. The goal is to have fewer than five unfilled orders on hand at the end of 95 percent of the working days. Frequent checks of the unfilled orders at the end of the day revealed that the distribution of the unfilled orders follows a Poisson distribution with a mean of two orders.
a. Has New Process, Inc. lived up to its internal goal? Cite evidence.

b. Draw a histogram representing the Poisson probability distribution of unfilled orders.

#2Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in terms of fuel economy.

a.Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine.
b.What is the likelihood that in the sample of three at least one Honda is included?

Originally Posted by 2202

Hi I am taking a statistics course and am having a heck of a time answering these 2 problems, any ganders to assistance is much appreciated!

#1 New Process, Inc., a large mail-order supplier of women's fashions, advertises same-day service on every order. Recently the movement of orders has not gone as planned, and there were a large number of complaints. Bud Owens, director of customer service, has completely redone the method of order handling. The goal is to have fewer than five unfilled orders on hand at the end of 95 percent of the working days. Frequent checks of the unfilled orders at the end of the day revealed that the distribution of the unfilled orders follows a Poisson distribution with a mean of two orders.
a. Has New Process, Inc. lived up to its internal goal? Cite evidence.

b. Draw a histogram representing the Poisson probability distribution of unfilled orders.

#2Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in terms of fuel economy.

a.Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine.
b.What is the likelihood that in the sample of three at least one Honda is included?

For 1a, what is the 95th percentile for the Poisson distribution with mean 2?

For 2, use a hypergeometric distribution (sampling without replacement).