1 Find the mean of the given probability distribution.

x p(x)

0 0.26

1 0.11

2 0.16

3 0.05

4 0.42

2 Find the mean of the given probability distribution.

The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows.

houses sold(x) probability P(x)

0 0.24

1 0.01

2 0.12

3 0.16

4 0.01

5 0.14

6 0.11

7 0.21

3 Provide an appropriate response. Round to the nearest hundredth.

Find the standard deviation for the given probability distribution.

x p(x)

0 0.37

1 0.13

2 0.06

3 0.15

4 0.29

4 Provide an appropriate response. Round to the nearest hundredth.

In a certain town, 70% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution.

x p(x)

0 0.0081

1 0.0756

2 0.2646

3 0.4116

4 0.2401

5 Provide an appropriate response.

In a game, you have a 1\36 probability of winning $85 and a 35\36 probability of losing $4 What is your expected value?

6 Provide an appropriate response.

A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $8000 with a probability of 0.3. What is the expected profit?

Find the indicated probability. Round to three decimal places.

7 A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

8 Find the indicated probability. Round to three decimal places.

A machine has 11 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working

9 Find the indicated probability. Round to three decimal places.

In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority?

10 Find the indicated probability. Round to three decimal places.

Find the probability of at least 2 girls in 6 births. Assume that male and female births are equally likely and that the births are independent events.