2. Let X denote the number Cars sold during a particular month by certain dealership. The pmf of X is I 0 1 2 3 4 5 P(X = x) .1 .2 .3 0.2 0.1 0.1 80% of all car buyers at the dealership also purchase an extended warranty. Let Y denote the number of car buyers that also buy an extended warranty. (a) Calculate the joint distribution table for X and Y. (Hint: What are values of X and Y? To calculate P(X = x,Y = y), use the fact that P(Y = y|X = x) will have a binonmial distribution with p = 0.7 and n = x. Finally calculate P(X = x, Y = y) = P(Y = y|X = x)P(X = x).) (b) Calculate the probability of the event "Every car buyer, also buys extended warranty". That is P(XY).

Read measurements w-z on the enlarged fractional rule shown in Figure 30-13.

The table below contains monthly share prices for Pfizer Inc. (PFE) and Astrazeneca Plc. (AZN). It also contains the monthly prices for the S&P 5000 index (S&PCOMP). Date Time  S&PCOMP PFE AZN 2/1/2019 0 2510.03 43.25 37.80 1/2/2019 1 2706.53 42.88 36.65 1/3/2019 2 2803.69 43.36 41.76 1/4/2019 3 2867.19 42.84 41.27 1/5/2019 4 2923.73 40.77 37.35 3/6/2019 5 2744.45 41.92 37.90 1/7/2019 6 2964.33 43.77 41.31 1/8/2019 7 2953.56 38.25 44.00 3/9/2019 8 2906.27 36.12 45.27 1/10/2019 9 2940.25 35.43 43.66 1/11/2019 10 3066.91 38.39 48.39 2/12/2019 11 3113.87 38.29 48.38 2/1/2020 12 3257.85 39.14 50.39 3/2/2020 13 3248.92 37.51 48.51 2/3/2020 14 3090.23 34.88 45.87 1/4/2020 15 2470.50 31.75 43.78 1/5/2020 16 2830.71 37.64 51.86 1/6/2020 17 3055.73 35.46 55.16 1/7/2020 18 3115.86 33.74 53.32 3/8/2020 19 3294.61 38.35 56.82 1/9/2020 20 3526.65 36.88 55.38 1/10/2020 21 3380.80 36.37 54.30 2/11/2020 22 3310.24 36.23 50.62 1/12/2020 23…

4. The following table provides the average price of Regular Grade of gasoline for 4 years. Use 2015 as the reference value, complete the table by calculating the price index for each year. Show all your calculation in the space provided. Date 2013 2014 2015 2016 Regular Grade Gasoline Prices Price $3.505 $3.358 $2.429 $2.143 Price Index