On Sundays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 8 cars per twenty minute interval. Using the Poisson distribution, the probability that five cars will arrive during the next thirty minute interval is.

The probability that five cars will arrive during the next thirty minute interval is 0.0127.

Step-by-step explanation:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 20 minutes is, 8.

The average number of cars arriving in 1 minute is, .

The average number of cars arriving in 30 minutes is, .

The random variable X follows a Poisson distribution with parameter λ = 12.

The probability mass function of X is:

Compute the probability that 5 cars will arrive in 30 minutes as follows:

Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

x = 3 ± √(5+y)