can someone please solve them ASAP thank you in advance

Problem A box has eight balls. There are three green balls and five yellow. The three green balls are numbered 1 , 2 , and 3. The five yellow balls are numbered 1 , 2 , 3 , 4 , and 5. The box is shaken. One ball is selected. Answer the following questions, using fractions in p/q format or decimal values accurate to the nearest 0.01 . Here G will mean that a green ball is selected, Y that a yellow ball is selected, and E that an even-numbered ball is selected, a. (25%) Select the colorumber pairs which comprise the sample space. G2 G3 G4 G5 G6 G7 G8 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 O b. (15%) P(G) = 3/8 C. (15%) P (G|E) = 1/3 d. (15%) P(G n E) = 1/8 e. (15%) P(G U E) = 5/8 f. (15%) Are G and E mutually exclusive? no v IMG_5358.jpg IMG_5357.jpg IMG_5356.jpg O to search OProblem 2 Two fair six-sided dice are rolled in succession. Complete the following, with all fractional values entered either in "p/q" form or as decimal values accurate to the nearest 0.001 sample space. a. (25%) With (1, 3) denoting the values 1 on the first roll and 3 on the second, etc., check which of the possibilities below comprise the (1, 1) (2, 1) (3, 1) (4, 1) (1, 2) (5, 1) (2, 2) (6, 1) (3, 2) (4, 2) (1, 3) (5, 2) (2, 3) (6, 2) (3, 3) (4, 3) (1, 4) (5, 3) (2, 4) (6, 3) (3, 4) (4, 4) (1, 5) (5, 4) (2, 5) (6, 4) (3, 5) (4, 5) (1, 6) (5, 5) (6, 5) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6) b. (15%) Let A be the event that either a 1 or 3 is rolled first, followed by an odd number. Then P(A) = 1/2 (15%) Let B be the event that the sum of the two rolls is at most 6 . Then P(B) = 5/36 IMG_5358.jpg IMG_5357.jpg IMG_5356.jpg search O102 G (1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6) b. (15%) Let A be the event that either a 1 or 3 is rolled first, followed by an odd number, Then P(A) = 1/2 C. (15%) Let B be the event that the sum of the two rolls is at most 6 . Then P(B) = 5/36 d. (15%) P ( A B) = 1/5 e. (15%) Are A and B mutually exclusive events? no V Why ? P(AnB) = 0 v f. (15%) Are A and B independent events? no Why ? P(A) # P(A|IB) ~ roblem 3 IMG_5358.jpg IMG_5357.jpg IMG_5356.jpgeval&course_id= 102 Problem 3 Consider the following scenario: . P(C) = 0.5 . P(D) = 0.7 . P (C D) = 0.7 and complete the following, with decimal values accurate to the nearest 0.001 a. (20%) P(C n D) = 0.49 b. (20%) Are C and D mutually exclusive? no Why? P(CnD) =0 C. (20%) Are C and D independent events? no Why? P(C)#P(CIID) ~ d. (20%) P(C U D) = e. (20%) P (D C) = IMG 535Zipa IMG_5356.jpgClick here for the solution Problem 4 The following table identifies a group of children by one of four hair colors, and by type of hair. Enter probabilities as fractions in "p/q" format, or as decimal approximations to the nearest 0.001 . Hair Type Brown ( Br ) Blond ( Bd) Black ( Bk) Red ( R) Totals Wavy ( W ) 25 79 201 Straight ( S ) 112 40 126 12 Totals 198 23 a. (25%)Complete the above table. b. (15%) What is the probability that a randomly selected child will have wavy hair? P(W) = C (15%) What is the probability that a randomly selected child will have either brown or blond hair? P(Br U Bd) = IMG_5358.jpg IMG_5357.jpg IMG_5356.jpg arch O/online/collab_stat_prob_eval_cum?mode=eval&course_id=102 Q G a. (25%)Complete the above table. b. (15%) What is the probability that a randomly selected child will have wavy hair? P(W) = C. (15%) What is the probability that a randomly selected child will have either brown or blond hair? P(Br U Bd) = d. (15%) What is the probability that a randomly selected child will have wavy brown hair? P(W n Br) = e. (15%) What is the probability that a randomly selected child will have red hair, given straight hair? P (R S) = f. (15%) (What is the probability of a child not having brown hair? P (Br() = Problem 5 SUBMIT IMG_5358.jpg IMG_5357.jpg IMG_5356.jpgeval&course_id = 102 G Problem 5 Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 106 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 45% were returned overall. From the economics class 45% of the envelopes were returned. From the other class 37% were returned. Let: R = money returned; E = economics class; O = other class a. (25%) Which of the following probability statements represents the overall percent of money returned? (pick one) b. (25%) Which of the following probability statements represents the percent of money returned from the economics class? (pick one) c. (25%) Which of the following probability statements represents the percent of money returned from the other class? (pick one) d. (25%) Is money being returned independent of the class? (pick one) | Why? (pick one) v SUBMIT IMG_5358.jpg IMG_5357.jpg IMG_5356.jpg