a. Given that P(A)=0.35, P(B)=0.40 and P(A∩B)=0.20, find P(A∪B)
b. Given that P(A)=0.35, P(B)=0.40 and P(A∩B)=0.20, find P(A∩B ̅ ), "the probability of A intersect B complement"
a. Given that P(A)=0.35, P(B)=0.40 and P(A∩B)=0.20, find P(A∪B) b. Given that P(A)=0.35, P(B)=0.40 and P(A∩B)=0.20,...
V. If P(A) 0.40, P(B)-0.80, and P(A and B) 0.35 a. Are A and B mutually exclusive? Explain why b. What is the probability of either A or B or both occurring? c. Using the multiplication rule, determine whether A and B are independent. d. What is the probability that neither A nor B will occur?
If P(A) = 0.25, P(B) = 0.35, and P(A intersection B) = 0.20 then, P(A union B) =
Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.23, P(C) = 0.18 P(A and B) = 0.13, P(A and C) = 0.03, P(B and C) = 0.07 P(A and Band C) = 0.01 P(A or B or C) =
Find the probability of the indicated event if P(E) 0.35 and P(F)-0.35. Find P(E or F) if P(E and F)-0.05. P(E or F)(Simplify your answer.)
Suppose that we have two events, A and B, with P(A) = 0.40, P(B) = 0.70, and P(A ∩ B) = 0.20. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not?
Let A and B be two events such that P(A)=0.40, P(B)=0.5 and P(A|B)=0.4. Let A′ be the complement of A and B′ be the complement of B. (give answers to two places past decimal) 1. Compute P(A′). 2. Compute P (A ∪ B). 3. Compute P (B | A). 4. Compute P (A′ ∩ B).
Suppose that A and B are independent events such that P(A) = 0.40 and P(B) = 0.20. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) (a) P(A n B) = 0 (b) P(A U B) = 0 Х $ ? At a factory that produces pistons for cars, Machine 1 produced 145 satisfactory pistons and 145 unsatisfactory pistons today. Machine 2 produced 360 satisfactory pistons and 40 unsatisfactory pistons today. Suppose that one piston from Machine...
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...
Given the following: A, B, and C are events. P[A] = 0.3 P[B] = 0.3 P[C] = 0.55 P[A intersect B] = 0 P[A' intersect B' intersect C'] = 0.1 P[A intersect C'] = 0.2 (i) Write a set expression for each of the following events a through d. (ii) Find the probability of the event. (Please show all work. Use venn diagrams if necessary). (a) At least one of the events A, B, or C occurs. (b) Exactly one...
Consider four events (A, B, C, and D) for which we know P(A) = 0.20, = 0.15, P(B’) = 0.95, P(C) = 0.35, P(D) = 0.45, = 0.3. A Venn diagram for the 4 events is given below. What is ? a. 0.05 b. 0.20 c. 0.25 d. 0.3