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version 3 Questions 11 - 13 A financial institution conducted a survey for a random sample of 100 people about the number of credit card accounts they have. The following probability distribution table is the result. Number of credit cards Probability 30% 2 40% 30% Use these approximations if needed: 0.3 0.55 0.4 0.63, 0.5 0.71 0.6 0.77 and 0.7 0.84 Q11 If you randomly select a person, what is the probability that she he has 3 or more credit card accounts? (a) Approximately 0% (b) 5.592% (c) 9.680% (d) 30% (c) 40% Answer 30% Q12 Let X be the average number of credit card accounts of the random sample. What is the standard deviation of X? (a) 0.055 (b) 0.063 (c) 0.071 (d) 0.077 (e) 0.084 Answer 0.077 Q13 What is the probability that X is greater than or equal to 3? (a) Approximately 0% (b) 5.592% (c) 9.680% (d) 30% (e) 40% Answer Approximately 0%

Answer 1

Givey Sample size (n) = 100 number of credit cards(x) probability &P(x)] 30%. 404 30% W probability that shelle house 3 or more credit cards þ (223) = 30% { given} Auswer @ 30% 30. - X- х рія) xp(x) x² po) 30/2013 0.3 ((0-3)=0.3 40% = 0.4 (2)(0.47-0.8 (2)*(0.4) = 106 30°• - 0.3 (3) (0-3) = 0.9 (3)?(0:3) = 27.7 Sum 2.0 sum = 4.6 5. E (X) = E(X) = 4.6 Standard deviation (O) = TECX2) - [E(x)]?) = 14.6 - (212 Pro - 14.6 - 4 lo = 50.6] Standard deviation of x = = 10.6 [ 10.6 - 0.77] Loveita 077 10 Answer :- @ 0.077
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Š is greater than or equal to 3 is Solo E(X) = * = 2 than probability of Þ(823) = 0 Auswer :-@ tega