Find solutions for the following.

Assume a population of 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population standard deviation o. (Round to three decimal places as needed.) b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations. Probability (Type integers or fractions.) c. Find the mean of the sampling distribution of the sample standard deviations. The mean of the sampling distribution of the sample standard deviations is. (Round to three decimal places as needed.) d. Do the sample standard deviations target the value of the population standard deviation? In general, do sample standard deviations make good estimators of population standard deviations? Why or why not? O A. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators. O B. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators. O C. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators. O D. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators.3. (a) Construct a frequency table with class width 100 (100-199, ..) (b) Construct a cross-tabulation table classified by gender (c) Construct a cross-tabulation table classified by favorite subject Gen Favorite test Gen Favorite test subject score subject score M Math 400 F Math 445 F Language 341 Science 235 M Math 343 M Language 491 M Business 422 M History 212 M Business 396 Science 408 F Science 500 Business 301 M Business 434 M Math 484 F History 270 F Business 388 M Business 274 M Language 318 M Science 307 F Science 317Sketch a normal curve for each distribution. Label the x-axis at one, two, and three standard deviations from the mean. 5. mean = 95; standard deviation = 12 6. mean = 100; standard deviation = 15 7. mean = 60; standard deviation = 6 8. mean = 23.8; standard deviation = 5.2 9. mean = 676; standard deviation = 60 10. mean = 54.2; standard deviation = 12.3D Question 15 2.5 pts What is the mean and standard deviation of the discrete random variable called X_Var shown below? X_ Var | Prob 1,335 | 0.2209 3,395 | 0.3665 7.578 | 0.1657 7.660 | 0.1355 8,929 | 0.1114 mean - 5,779.40 standard deviation - 2,902.75 O mean = 5,779.40 standard deviation = 3.245,37 mean = 5,779.40 standard deviation = 8,425,930.64 O mean - 5,779.40 standard deviation = 10,532,413.30 O mean = 4,827.46 standard deviation = 7.661.209.35 mean = 4.827,46 standard deviation = 2.767.89