II.Problem Solving.The number of cars waiting in line at a car wash is distributed as follows:

Number of CarsProbability

00.25

10.40

20.20

30.10

40.04

50.01

Using the table of Random numbers (Table 1) select samples from the distribution by assigning as follows:

1. Start in the row corresponding to the day of the month in which you were born.

2. Select two-digit numbers.

3. If you select a random number from 00 to 24, record a length of 0; if from 25 to 64, record a length of 1; if from 65 to 84, record a length of 2; if from 85 to95, record a length of 3; if from 95 to 98, record a length of 4; if it is 99, record a length of 5.Select samples of n = 2, n = 5, and n =10.Compute the mean for each sample.For example, if a sample of size 2 results inrandom numbers 18 and 46, these would correspond to lengths of 0 and 1, respectively, producing a sample mean of 0.5.What conclusions can you reach concerning the sampling distribution of the mean as the sample size is increased.