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4. Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0,4 (a) Can events...
Given P(A) = 0.6 and P(B) = 0.3 If A and B are mutually exclusive events, compute P(A or B). If P(A and B) = 0.2, compute P(A or B). If A and B are independent events, compute P(A and B). If P(B|A) = .1, compute P(A and B).
2.30 Probability of independent events. Given two independent events A and B with PIA 0.3, PB 0.4, find (a) P[AU B; (b) P[AB); (c) P[BIA); (d) P BA)
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
Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and P(AUB) = 0.3. a. [2 marks] Calculate P(A NB) b. [2 marks] Use the mathematical definition of independence to determine if A and B are independent. Conclude in a single sentence. Use only one of the two appropriate c. [2 marks] Use the mathematical definition of mutual exclusivity to determine if A and Bare mutually exclusive. Conclude in a single sentence. MacBook Air #58...
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
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 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...
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...
You are given the following information about events A, B, and C P(A)0.35, P (B)-0.3, P(C) 0.51 Events A and B are independent. The probability of at least two of these events occurring is 0.27. The probability of at exactly two of these events occurring is 0.2 Find P(4jc) 0.3698 0.3489 0.3384 0.3279 0.3593 It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown...
Have to show work for every problem 4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...