Which one of the following is NOT true about Poisson distribution?

Select one:

a. Mean is equal to variance.

b. The occurrences are random.

c. There are n identical occurrences.

d. The occurrences are independent.

A food delivery restaurant manager says that the time taken to deliver food to the customers is normally distributed with mean of 30 minutes and standard deviation of 2 minutes. If the food delivery time exceeds 40 minutes, a food voucher will be given to the customers. What is the percentage that a food voucher will be given to the customers?

Select one:

a. 0.00

b. 100.00

c. 99.98

d. 0.03

A bag contains 8 blue marbles, 7 red marbles and 5 yellow marbles. You randomly draw five marbles from the bag (with replacement), find the probability that two out of the five marbles are non-blue.

Select one:

a. 0.3456

b. 0.6000

c. 0.2304

d. 0.0675

A food delivery restaurant manager says that the time taken to deliver food to the customers is normally distributed with mean of 30 minutes and standard deviation of 2 minutes. If the food delivery time exceeds 40 minutes, a food voucher will be given to the customers. If 10% of all the food deliveries take less than A minutes, find the value of A.

Select one:

a. 25.35

b. 32.56

c. 34.65

d. 27.44

The number of cars arrive at a petrol station is averaged 12 per hour. Find the probability that at most five cars arrive at the petrol station in the next hour.

Select one:

a. 0.0076

b. 0.0458

c. 0.0203

d. 0.9924

A food delivery restaurant manager says that the time taken to deliver food to the customers is normally distributed with mean of 30 minutes and standard deviation of 2 minutes. If the food delivery time exceeds 40 minutes, a food voucher will be given to the customers. What is the probability that a randomly selected food delivery will take at most 29 minutes?

Select one:

a. 0.5000

b. 0.4013

c. 0.3085

d. 0.6915