Kindly solve the question

Compute the sample variance and standard deviation for the water absorbency data of Exercise 1.2 on page 13. Reference: Exercise 1.2 According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 pieces of cotton fiber was taken and the absorbency on each piece was measured. The following are the absorbency values: 18.71 21.41 20.72 21.81 19.29 22.43 20.17 23.71 19.44 20.50 18.92 20.33 23.00 22.85 19.25 21.77 22.11 19.77 18.04 21.12 (a) Calculate the sample mean and median for the above sample values. (b) Compute the 10% trimmed mean. (c) Do a dot plot of the absorbency data. (d) Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?\fimate the value of fix) () Stirling (li) Bessel (uil) Everett and ( Consider the following table of values: 0495 0605 0739 0903 1102 1346 1644 2009 Find the values of [(2.35) and f(2.2) using all the () Use the following table of 1 1.268 1.449 1.639 1839 2052 2.281 to find I. when 0 = .536, from the Stirling and Everett formulas. Check the answer using Newton's forward difference x 10 1.1 1.2 13 14 1.5 ((x) | 1.54308 1.66852 1.81066 1.97091 2.15090 2.35241 2.57746 Find the value of f(1.35) using: () Stirling. (ii) Bessel, (ill) Everet (e) Consider the following data: x 1.0 1.2 14 1.6 1.8 20 ((x) | 0.367879 0301194 0.246597 0.201897 0.165299 0.135335 Find the value of f(1.675) using () Stirling. (in) Bessel Gui) (f) Kinematic viscosity of water, v. is related to be T("F) 40 60 | 1.66 141 1.22 1.06 0.93 Use a suitat to predict v at T - 62 "F. current i. The results page drop v. acro ober of different values of 1 0.25 0.75 1.25 1.75 2.25 -0.23 -0.33 0.70 1:68 6.00 Use a suitable imeThree cards are drawn in succession from a deck without replacement. Find the probability distribution for the number of spades. Find a formula for the probability distribution of the random variable X representing the outcome when a single die is rolled once. Find the probability distribution of the random variable Win Exercise 3.3, assuming that the coin is biased so that a head is twice as likely to occur as a tail. Reference: Exercise 3.3: Let Wbe a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and to each sample point assign a value w of W.\f