Based on data from a car bumper sticker study, when a car is randomly selected,

Question

Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumper stickers and the corresponding probabilities are as shown below.

Complete parts (a) through (d)

x   P(x)
0   0.804
1   0.071
2   0.047
3   0.028
4   0.015
5   0.012
6   0.009
7   0.006
8   0.005
9   0.003

a. Does the given information describe a probability distribution?

Yes or No

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

The mean is___ (Round to the nearest tenth as needed.)

The standard deviation is___ (Round to the nearest tenth as needed.)

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 as needed.)

The minimum usual value is___ (Round to the nearest tenth as needed.)

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

A. No, because the probability of having 1 bumper sticker is 0.071, which is greater than 0.05.

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

C. No, because the probability of more than 1 bumper sticker is 0.125, which is greater than 0.05.

D. Not enough information is given.

Explanation / Answer

a. Yes, it describes the probability distribution since the probabilities sum upto one

b.Mean = E(x) =

=0.532

Standard deviation = sqrt(2.232) = 1.494

c. maximum value is 0.804

minimum value is 0.003

d. No, it can have more than one bumper sticker.

0.804*0  + 0.071*1  + 0.047*2  + 0.028*3  + 0.015*4  + 0.012*5  + 0.009*6  + 0.006*7  + 0.005*8  + 0.003*9

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.