John is a speed demon. The probability that he will get a speeding ticket while
ID: 3023934 • Letter: J
Question
John is a speed demon. The probability that he will get a speeding ticket while driving to and from work is 30 percent. Answer the next three questions based on a work week (n = 5). 18 What is the probability that John will get 2 tickets during the week (Monday-Friday)? a 0.3087 b 0.3364 c 0.3441 d 0.3717 19 What is the probability that John will get at least one ticket during the work week? a 0.8985 b 0.8319 c 0.2496 d 0.1681 20 If each ticket costs John $180 what is the average cost of speeding violation in the 5-day period? a $260 b $270 c $280 d $290 John is a speed demon. The probability that he will get a speeding ticket while driving to and from work is 30 percent. Answer the next three questions based on a work week (n = 5). 18 What is the probability that John will get 2 tickets during the week (Monday-Friday)? a 0.3087 b 0.3364 c 0.3441 d 0.3717 19 What is the probability that John will get at least one ticket during the work week? a 0.8985 b 0.8319 c 0.2496 d 0.1681 20 If each ticket costs John $180 what is the average cost of speeding violation in the 5-day period? a $260 b $270 c $280 d $290Explanation / Answer
18.
Note that the probability of x successes out of n trials is
P(n, x) = nCx p^x (1 - p)^(n - x)
where
n = number of trials = 5
p = the probability of a success = 0.3
x = the number of successes = 2
Thus, the probability is
P ( 2 ) = 0.3087 [ANSWER, A]
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19.
Note that the probability of x successes out of n trials is
P(n, x) = nCx p^x (1 - p)^(n - x)
where
n = number of trials = 5
p = the probability of a success = 0.3
x = the number of successes = 0
Thus, the probability is
P ( 0 ) = 0.16807
Thus, P(at least one) = 1 - P(0) = 0.83193 [ANSWER, B]
***************
20.
As
E(x) = n p
Then
E(180x) = 180 n p = 180*5*0.3 = 270 [ANSWER, B]
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