QUESTION 3

Let be the number of days customers parked their cars at a parking lot in a randomly five working days. TABLE 2 shows the number of days and the number of cars parked per day.

TABLE 2

Number of days:- 0 1 2 3 4 5 Total

Number of cars parked:- 41 83 167 290 340 238 1159

a)Construct the probability distribution and cumulative probability distribution function for X.

b)Based on the answer in (a), compute the probability that at most 2 days the customers parked their cars at the parking lot.

c)Calculate the expected value and standard deviation for X.