Question
In: Math
The probability is0.45 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In...
The probability is0.45 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In
seven 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
Here Y has binomial distribution with following parameters as follow:
n = 7 and p=0.45
The pdf of Y is
(a)
The probability that exactly three involve an intoxicated or alcohol-impaired driver or non occupant is
----------------------
The probability that at least three involve an intoxicated or alcohol-impaired driver or non occupant is
----------------------
The probability that at most three involve an intoxicated or alcohol-impaired driver or non occupant is
(b)
(c)
The mean is
The average number of traffic fatality involves an intoxicated or alcohol-impaired driver or non occupant is 3.15.
(d)
The standard deviation is
milcah answered 1 year agoRelated Solutions
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