IQLIestionH v||{|}| A bag contains 3 red marbles, 5 blue marbles and 2 green marbles. Two marbles are drawn, one at a time from the bag. Find the probability that both are blue under each condition. Report answers to 3 decimal places. A. After drawing out the first marble, it is replaced in the bag before drawing the second marble. :1 B. After drawing out the rst marble, it is not replaced in the bag before drawing the second marble. :1 I Question 12 v As you probava know, the Titanic, on its maiden voyage, hit an iceberg and sank in the matter of hours. The following table Summarizes the classes of people and their surviving. Compute each probability,r to 3 decimal places for a person selected at random. A. the person was a man :1 B. the person survived :1 C. the person was a man and survived. :1 D. the person was a man or survived. :1 E. the person was a man given they,r survived. :1 F. the person survived given the person was a man. [:1 (3. Based on the data, 1was whether a person survived and the gender, dependent or independent? '3 Independent 0 Dependent . Question 13 Consider the following probability distribution: X P(X) 0.25 1 2 3 0.15 Determine each probability, to 2 decimal places: A. Probability that x is at least 1. B. Probability that x is at most 2.O Question 14 Determine whether this table represents a probability distribution. X P(x) 0 0.25 0.1 2 0.05 3 0.55 O Yes, it is a probability distribution ONo, it is not a probability distribution. Question 15 The following table shows a probabiity distribution. X P(X) 1 0.16 2 0.22 0.28 4 0.20 5 0.14 A. Determine the mean, reporting to 2 decimal places. B. Determine the standard deviation, reporting to 2 decimal places