The number of cars arriving at a toll booth in five-minute intervals is poisson distributed with a mean of 3 cars arriving in five-minute time intervals. the probability of 5 cars arriving over a five-minute interval is

The probability of 5 cars arriving over a five-minute interval is 0.1008 = 10.08%

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

Mean of 3 cars arriving in five-minute time intervals.

This means that

The probability of 5 cars arriving over a five-minute interval is

This is P(X = 5).

So

The probability of 5 cars arriving over a five-minute interval is 0.1008 = 10.08%

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d