3. Sam is a representative who sells large appliances such as refrigerators, stoves, and so forth. Let x = number of appliances Sam sells on a given day. Let f = frequency with which Sam had the following sales record. WOHa 3 1 4 605 5 6 7 X 0 2 90 63 41 24 18 8 5 Assume that the sales record is representative of the population of all sales days. a. Use the relative frequency ( ) to find P(x) for x = 0 to 7. (n = [f) x P(x) When finding the 0 relative frequencies, round all answers to 2 the nearest thousandth, 3 decimal places. Make sure that you are rounding correctly, so that the EP(X) = 1. 7 *Make sure EP(x) = 1 mammaqre 1simonid s yebrenda b. Make a histogram to graph the probability distribution shown in part (a)c. Compute the probability that x is between 3 and 7 (including 3 and 7). d. Compute the probability that x is less than 2. Complete the table below to answer parts (e) and (f). x P(x) xP(x) x -H ( x - 14 ) 2 ( x - H ) =P(x) EXP(x) = E(x- H)? P(x) = e. Compute the expected value / of the probability distribution. f. Compute the standard deviation o of the probability distribution