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The probability is 0.3 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant....

The probability is 0.3 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.

Solutions

Expert Solution

c) mean of binomial distribution:

mean = n*p = 8 * 0.3 = 2.4

hence mean = 2.4

d) Standard deviation of binomial distribution :

Standard deviation = = sqrt( 8 * 0.3 * 0.7) = 1.2961

Standard deviation = 1.2961 (Rounded to 4 decimal places)

Hope this will help you. Thank you :)

milcah answered 1 year ago
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