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.

Statistics Question

The following are th P/E ratios (price of stock divided by projected earnings per share) for 20 banks. 15,22,29,19,22,19,31,15,29,18,34,24,23,21,14,21,17,50,23 find the 30th and 75th percentile for these ratios

The accompanying data represent the annual rates of return of two​ companies' stock for the past 12 years. Complete parts​ (a) through​ (k). Year Rate of Return of Company 1 Rate of Return of Company 21996 0.203 0.3981997 0.310 0.5101998 0.267 0.4101999 0.195 0.4362000 -0.101 -0.0602001 -0.130 -0.1512002 -0.234 -0.3572003 0.264 0.3282004 0.090 0.2072005 0.030 -0.0142006 0.128 0.0932007 -0.035 0.027 ​(j) Plot residuals against the rate of return of Company 1. Does the residual plot confirm that the relation between the rate of return of Company 1 and Company 2 is​ linear? Yes or No?   ​(k) Are there any years where the rate of return of Company 2 was​ unusual? Yes or No?

D3

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