question seven

The probability that a house in an urban area will be burglarized is 4%. If 54 houses are randomlyselected, what is the probability that none of the houses will beburglarized?

A.

0.000

B.

0.001

C.

0.040

D.

0.110

question 6

A test consists of 500 true or false questions. If the student guesses on eachquestion, what is the standard deviation of the number of correctanswers? Round the answer to the nearest hundredth.

A.

0.00

B.

2.00

C.

15.81

D.

11.18

question twelve

Complete parts(a) and(b) below.

The number of dogs per household in a small town

Dogs Probability

0 0.661

1 0.212

2 0.085

3 0.022

4 0.014

5 0.006

(a) Find themean, variance, and standard deviation of the probability distribution.

Find the mean of the probability distribution.

=

(Round to one decimal place asneeded.)

Find the variance of the probability distribution.

2=

(Round to one decimal place asneeded.)

Find the standard deviation of the probability distribution.

=

(Round to one decimal place asneeded.)

(b) Interpret the results in the context of thereal-life situation.

A.

A household on average has 0.8 dog with a standard deviation of 0.9 dog.

B.

A household on average has 0.9 dog with a standard deviation of 0.5 dog.

C.

A household on average has 0.5 dog with a standard deviation of 11 dogs.

D.

A household on average has 0.5 dog with a standard deviation of 0.9 dog.