The probability is 0.35 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In nine 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.     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 this many traffic​ fatalities, 1 will involve an intoxicated or​ alcohol-impaired driver or nonoccupant.   B. On​ average, of nine traffic​ fatalities, this many will involve an intoxicated or​ alcohol-impaired driver or nonoccupant.   C. In every nine traffic​ fatalities, exactly this many 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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...