Question

Consider the probability distribution shown for the random variable x found below. Complete part a through f. 0 x P(x) 3 0.4 4 0.2 6 0.2 12 0.2 a. Find = E(x) = 5.6 (Round to the nearest tenth as needed.) b. Find o =E[(x-1)2]. (Round to the nearest hundredth as needed.) c. Find o. o= (Round to four decimal places as needed.) d. Interpret the value you obtained for p. Choose the correct answer below. O A. The average value of x over many trials is equal to . OB. The average value of x over many trials will be more than 1. Click to select your answer(s).

Answer 1

3 4 6 12 Total p(X) 0.4 0.2 0.2 0.2 X*p(X) 1.2 0.8 1.2 2.4 5.6 (X-u) 6.76 2.56 0.16 40.96 50.44 a) Mean u = E(X)=x*P(x)=5.6 b) Variance o2=(X-u) = 50.44 c) Standard deviation o=750.44 = 7.1021 d) The average value of x over many trails is equal to u Option A