3. An aptitude test was given to a random sample of people intending to become data-entry clerks. The results are shown below, where r = the score on a 10- point scale and / = the frequency the frequency of people with this score. 2 3 5 6 8 9 10 9 31 49 52 43 12 19 11 5 Assume that the sales record is representative of the population of all sales days. Use the relative frequency .|to find P(x) for x = 1 to 10. (n = [f ) P(x) When finding the relative frequencies, round all answers to the nearest thousandth, 3 decimal places. Make sure that you are rounding correctly, so that the [P(x) = 1. 10 *Make sure EP(x} = 1 b. Make a histogram to graph the probability distribution shown in part (a) C. Compute the probability that.r is between 3 and 8 (including 3 and 8). d. Compute the probablety that x is less than 5. Complete the table below to answer parts (e) and (f). P(x) X - Ar (x -* )'P() e. Compute the expected value , of the probability distribution. f. Compute the standard deviation a of the probability distribution