The probability is

0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In eight traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is

a. exactly three; at least three; at most three.

b. between two and four, inclusive.

c. Find and interpret the mean of the random variable Y.

d. Obtain the standard deviation of Y.

Question content area bottom

Part 1

a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is

enter your response here.

(Round to four decimal places as needed.)

Part 2

The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is

enter your response here.

(Round to four decimal places as needed.)

Part 3

The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is

enter your response here.

(Round to four decimal places as needed.)

Part 4

b. The probability that between

two and four traffic fatalities, inclusive, involve an intoxicated or alcohol-impaired driver or nonoccupant is

enter your response here.

(Round to four decimal places as needed.)

Part 5

c. The mean of Y is

enter your response here.

Part 6

Choose the correct interpretation of the mean below.

A.

On average, of

eight traffic fatalities, this many will involve an intoxicated or alcohol-impaired driver or nonoccupant.

B.

In every eight traffic fatalities, exactly this many will involve an intoxicated or alcohol-impaired driver or nonoccupant.

C.

On average, of this many traffic fatalities, 1 will involve an intoxicated or alcohol-impaired driver or nonoccupant.

Part 7

d. The standard deviation of Y is

enter your response here.

(Round to two decimal places as needed.)