Based on data from a car bumper stickerstudy, when a car is randomlyselected, the number of bumper stickers and the corresponding probabilities are as shown below.

Complete parts(a) through(d).

x P(x)

0 0.809

1 0.088

2 0.033

3 0.017

4 0.015

5 0.012

6 0.009

7 0.007

8 0.006

9 0.004

. Does the given information describe a probabilitydistribution? Yes or No

b. Assuming that a probability distribution isdescribed, find its mean and standard deviation.

The mean is. (Round to the nearest tenth asneeded.)

The standard deviation is. (Round to the nearest tenth asneeded.)

c. Use the range rule of thumb to identify the range of values for usual numbers of bumper stickers.

The maximum usual value is. (Round to the nearest tenth asneeded.)

The minimum usual value is . (Round to the nearest tenth asneeded.)

d. Is it unusual for a car to have more than one bumpersticker? Explain.

A.

No, because the probability of more than 1 bumper sticker is 0.103, which is greater than 0.05.

B.

No, because the probability of having 1 bumper sticker is 0.088, which is greater than 0.05.

C.

Yes, because the probabilities for random variable x from 2 to 9 are all less than 0.05.

D.

Not enough information is given.