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We use the Poisson distribution when dealing with random
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1.We use the Poisson distribution when dealing with random variables that are

non-negative integers.

complex.

continuous.

dichotomous.

2.Using the binomial PMF, when p=.3 and n=12 what is P(X=5)? (Answer to the third decimal place).

3.Using the binomial PMF, when p=.6 and n=8 what is P(X=7)? (Answer to the third decimal place).

4.The probability of a getting a new sales contract with any given client is .24.  A sales representative works with 14 clients this week.  What is the expected number of contracts the sales representative will get this week? (Answer to the second decimal place.)

5.The probability of a getting a new sales contract with any given client is .44.  A sales representative works with 8 clients this week.  What is the probability he will get exactly 3 contracts this week? (Answer to the third decimal place.)

6.A telemarketer will make 25 calls in one hour.  The probability of making a sale on any given call is .09.  What is the probability that he will make at least one sale during the hour? (Answer to the third decimal place.)

7.The vice president of the fraud department has 21 employees that report to her.  During a holiday period she must make work assignments to ensure that someone is on call each day.  There are five days that she must cover and she will assign no one to more than one day.  How many different combinations of workers assigned for the holiday week are possible?

8.Using the Poisson PMF, when the mean is 8, what is P(X=4)? (Answer to the third decimal place).

9.Using the Poisson PMF, when the mean is 6, what is P(X=9)? (Answer to the third decimal place).

 

10.The probability of a getting a new sales contract with any given client is .44.  A sales representative works with 8 clients this week.  What is the expected number of contracts this week? (Answer to the second decimal place.)

11.Which of the following are examples of discrete data?

a.

Stock price.

b.

A person's height.

c.

The number of credit hours you take in a semester.

d.

The number of phone calls a customer service representative handles in an hour.

e.

The number of children in a family.

f.

The number of defective units in a batch of 50.

g.

A person's income.

h.

The total debt for a company.

12.Find the probability that X=2 when the average is 2 and the random variable follows the Poisson distribution.  Answer to two decimal places.

13.Suppose you are dealing with discrete data.  If P(X=0)=0.1, and P(X=1)=0.11, and P(X=2)=0.13 then P(X>2)=? (Answer to as many decimal places as needed.)

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