Question

An agency collects demographics concerning the number of people in families per household in a certain country. Assume the distribution of the number of people per household is as shown in the table to the right. x   P(x) 2   0.27 3   0.23 4   0.28 5   0.13 6   0.05 7   0.04 a. Calculate the expected number of people in families per household in the country. b. Compute the standard deviation of the number of people in families per household.

Answer 1

Solution X Pro 2 0.27 3 0.23 0.28 5 0:13 6 0:05 7 0:04 a expected value EX; P(x) 6 x 0.27) + ( 3 x0.23) +(4x0.28) + ( 5x0.13) + (6x0.05) + (7 0.04) 0.54 + 0.69 + 112 t 0.65 + 0.3 of 0.28 3:58 Answer. b o 2 E (X²) Standard deviation, E (x2) - [E (x)]? Ext P(xi) = (4x = (4x0.27)+(9X0-23)+(1680:28) +- (25 * 0.13) +(36X0.05) + ( 49 x 0.04) 1.0 g +2.07 + 4.48+3.25 +1.8t 1.96 I Gof: 64 14.64 (3.589² 1.8236 standard deviation, 1.3504 Answer