Question

This Question: 1 pt 6 of 37 (1 complete) » This Test: 37 pts pos One question from a survey was "How many credit cards do you currently have?" Answer the parts (a) through (d) based on the results of the survey given below. 0 1 2 3 4 D P(x) 0.407 0.327 0.114 0.075 0.077 (a) Draw a probability histogram for the random variable X Choose the correct graph below. ОА. OB. OC 0 오수 Probability, P() Probability, PO OOOOO Probability, PGO Probability. PM PNG 4 O 134 of credit cards. x 1 2 3 4 of credit cards. 0 1 2 3 of credit cards 0 1 2 3 of credit cards (b) Compute the mean and standard deviation number of credit cards from the probability distribution The mean is credit cards (Type an integer or a decimal.) The standard deviation is credit cards (Round to three decimal places as needed) (c) Determine the probability of randomly selecting an individual whose number of credit cards is more than two standard deviations from the mean The probability is (Round to three decimal places as needed) ase fren Click to select your answer(s).

Answer 1

Þ(1) 0.407 0.327 0114 0.075 0.077 correct option is (c) (b) mean ( E(X)) = EU. Þ(1) ECX) - OX 0.407 + 180.327 + 2x0.114 + + 3xo.075 + 4xo.077 EX) = 1088 TE(X)=1.1) E (X2) = ? a? Þ(1) E (X2) = 10) x 0.407 + 102x0.327 + (272 x0.114 + (33+ x 0.075+ (403X0.077 E (X2) - 2.69 Standard deviation = JF(x2) - [EC]2 - | 2.69-(1.102 - 11.5063 Istandard deviation = 1.221