#22 and #23. please show some work.

Use the normal distribution to approximate the desired probability. 22) Find the probability that in 2,000,000 tosses of a fair die, we will obtain at most 330,000 22) fives. 2:000: 080 660 6 3 36:600 Extra Credit - 8 points max possible. 23) Three randomly selected households are surveyed as a pilot project for a larger survey to 23) be conducted later. The numbers of people in the households are 3, 6, and 10. Consider the values of 3, 6, and 10 to be a population. Assume that samples of size n = 2 are randomly selected with replacement from the population of 3, 6, and 10. a) List the 9 possible samples $95,8 10 - 12 714 16 , 18/ 20, b) Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution. c) Compare the population variance to the mean of the sample variances. d)Do the sample variances target the value of the population variance? In general, do variances make good estimators of population variances? Why or why not