Question 4 You are given the following information on Events A, B, C, and D. P(A) = .5 P(B) = .3 P (C) = .15 P(A U D) = .7 P(A ∩ C) = 0.05 P (A │B) = 0.22 P (A ∩ D) = 0.25 Compute P(D). Compute P(A ∩ B). Compute P(A | C). Compute the probability of the complement of C. What does it mean to be mutually exclusive? Give an example of two events that are mutually exclusive.
Question 4 You are given the following information on Events A, B, C, and D. P(A)...
You are given the following information on Events A, B, C, and D. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /?> P(A) = 0.4 P(A ? D) = 0.6 P(B) = 0.2 P(A?B) = 0.3 P(C) = 0.1 P(A ? C) = 0.04 P(A ? D) = 0 .03 a. Compute P(D). b. Compute P(A ? B). c. Compute P(A?C). d. Compute the probability of the complement of C. e. Are A and B mutually exclusive? Explain your answer. f....
Question 19 Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive. P(A)P(B)P(C)=0.26=0.5=0.45P(A|B)P(B|C)P(C|A)=0.26=0=0.26 Select all correct answers. Select all that apply: B and C are independent A and C are mutually exclusive A and B are independent A and C are independent B and C are mutually exclusive A and B are mutually exclusive
Given the following information about events A, B. and C, determine which pairs of events,if any, are independent and which pairs are mutually exclusive. P(A)-0.3 P(BIA) 0.3 P(B)0.5 P(CB) 0.33 P(C) 0.33 P(AIC)-0.33 Select all correct answers. Select all that apply: A and Care mutually exclusive D A and Care independent O Band C are independent 0 Band C are mutually exclusive D Aand B are mutualy exclusive A and B are independ
The events A, B, and C occur with respective probabilities 0.80, 0.26, and 0.13. The events C and B are mutually exclusive; likewise the events C and A are mutually exclusive. The probability of the event BnA is 0.22. Compute the probability of the event Bn(AUc) (If necessary, consult a list of formulas.)
1) What does it mean for events to be mutually exclusive? Give an example of events that are mutually exclusive and an example of events that are not. 2) How is the probability of an event found? 3) When drawing one card at random from a standard deck of cards, what is probability of getting a king, P(K)? Now let's put a condition on that probability, find the probability of getting a king given that the card is a face...
Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs and mutually exclusive. P(A)=0.78 P(B)=0.34 PC) -0.21 P(BA) =0.78 P(CB) =0.21 PAC) =0.21 Elect all that apply: O A and C are independent O A and B are independent O A and B are mutually exclusive OB and C are independent
1) Events A, B, C, and D are mutually exclusive and collectively exhaustive. If P(A or B) = .44. Circle all of the following that are possible? a) P(C or D) > .56 b) P(C and D) = .56 c) P(A and D) = 0 d) P(A) = .5 2) You have 10 members of a team. How many ways could you pick 3 captains (order does not matter)? a) 720 b) 30 c) 120 ...
Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs and mutually exclusive. P(A)=0.02 P(A|B)=0 P(B)=0.02 P(C|B)=0.15 P(C)=0.15 P(A|C)=0.02
You are given the following information about events A, B, and C The probability of event A occurring is 0.49 The probability of only event A occurring is 0.15. Events B and C are mutually exclusive The probability of C occurring is 1.5 times the probability of B occurring. The probability of none of the events occurring is 0.13. The probability C occurring and A not occurring 0.18 Find the probability of event B NOT occurring. 0.648 0.733 O 0.712...
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further that we know P(A) 30 and P(B) a. What is P(A n B)? b. What is P(A I B)? c. 40. A student in statistics argues that the concepts of mutually exclusive events and inde- pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this...