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0 en the events A and B above, find the following probabilities P[ not (A or...
A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities...
A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities P(A and B) P(A or B) P(A | B) P(B | A) = P( not A and B) = P(A and not B) Are events A and B independent (yes Explain why or why not or no) Are events A and B independent (yes Explain why or why not or no) GRB 5/5/2019 Math 121 Final Spring 2019
3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and...
3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and B ? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 4. "The probability of event B, given that event A has occurred" is known as a probability A) continuous B) marginal C) simple D) joint E) conditional 5. The expected value of a probability distribution is A. the...
Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let...
Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4 A) FIND P(C AND D)= B)Are C and D mutually exclusive? Why or why not? C and D are mutually exclusive because they have different probabilities. C and D are not mutually exclusive because P(C) + P(D) ≠ 1 There is not enough information to determine if C and D are mutually exclusive. C and D are not mutually...
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose...
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose event A occurs with probability 0.03 and event B occurs with probability 0.02. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs. (If necessary, consult a list of formulas.) 6 2
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4;...
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4; P(F) 0.5. Find P(E1F) 41.J and Kare independent events. PUlK) 0.3. Find PC) 42. Uand V are mutually exclusive events. P(U) 0.26; P(V)-0.37. Find: a. P(U AND V)= 43.Q and R are independent events. PQ) 0.4 and P(Q AND R) 0.1. Find P 3.3 Two Basic Rules of Probability Use the following information to answer the next ten exercises Forty-eight perc Californians registered voters...
The events A, B, and C occur with respective probabilities 0.60, 0.10, and 0.28. The events...
The events A, B, and C occur with respective probabilities 0.60, 0.10, and 0.28. The events B and Care mutually exclusive; likewise the events B and A are mutually exclusive. The probability of the event СПА is 0.20. Compute the probability of the event (end UB (If necessary, consult a list of formulas.)
The events A, B, and C occur with respective probabilities 0.80, 0.26, and 0.13. The events...
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.)
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further...
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...
Consider two events A and B whose probabilities are known. It is known that the two...
Consider two events A and B whose probabilities are known. It is known that the two events are not mutually exclusive and not independent. Which of the following calculations could be used to compute P(A ∩ Bc)? P(A ∩ Bc) = P(A) + P(Bc) P(A ∩ Bc) = P(A) • P(Bc) P(A ∩ Bc) = 1- P(A ∩ B) P(A ∩ Bc) = P(A) - P(A ∩ B)
The events A, B, and C occur with respective probabilities 0.59, 0.53, and 0.36. The events...
The events A, B, and C occur with respective probabilities 0.59, 0.53, and 0.36. The events and B are mutually exclusive; likewise the events C and I are mutually exclusive. The probability of the event Bn A is 0.49. Compute the probability of the event BA (AUC). (If necessary, consult a list of formulas.) E х 5
A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities P(A and B) P(A or B) P(A | B) P(B | A) = P( not A and B) = P(A and not B) Are events A and B independent (yes Explain why or why not or no) Are events A and B independent (yes Explain why or why not or no) GRB 5/5/2019 Math 121 Final Spring 2019
3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and B ? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 4. "The probability of event B, given that event A has occurred" is known as a probability A) continuous B) marginal C) simple D) joint E) conditional 5. The expected value of a probability distribution is A. the...
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose event A occurs with probability 0.03 and event B occurs with probability 0.02. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs. (If necessary, consult a list of formulas.) 6 2
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4; P(F) 0.5. Find P(E1F) 41.J and Kare independent events. PUlK) 0.3. Find PC) 42. Uand V are mutually exclusive events. P(U) 0.26; P(V)-0.37. Find: a. P(U AND V)= 43.Q and R are independent events. PQ) 0.4 and P(Q AND R) 0.1. Find P 3.3 Two Basic Rules of Probability Use the following information to answer the next ten exercises Forty-eight perc Californians registered voters...
The events A, B, and C occur with respective probabilities 0.60, 0.10, and 0.28. The events B and Care mutually exclusive; likewise the events B and A are mutually exclusive. The probability of the event СПА is 0.20. Compute the probability of the event (end UB (If necessary, consult a list of formulas.)
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.)
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...
The events A, B, and C occur with respective probabilities 0.59, 0.53, and 0.36. The events and B are mutually exclusive; likewise the events C and I are mutually exclusive. The probability of the event Bn A is 0.49. Compute the probability of the event BA (AUC). (If necessary, consult a list of formulas.) E х 5
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