2.30 Probability of independent events. Given two independent events A and B with PIA 0.3, PB...
4. Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0,4 (a) Can events A and B be mutually exclusive? Explain. | (b) If P(A and B) = 0.2, compute P(A or B). 3. Basic Computation: Multiplication Rule Given P(A) = 0.2 and P(B) = 0.4: (a) If A and B are independent events, compute P(A and B). (b) If P(AIB) = 0.1, compute P(A and B). 6. Basic Computation: Multiplicat (a) If A and B, are independent...
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
QUESTION 3 Given two events, A and B, such that P(A) = 0.4, P(B) 0.3, and P(A| B) 0.5, find P(A or B). QUESTION 4 Find the probability of 1 or fewer heads on six coin flips. QUESTION 5 Save All Answers to save all ansuers.
For two events A and B, P(A)=0.4 and P(B)=0.3 (a) If A and B are independent, then P(A|B)= P(A∪B)= P(A∩B)= (b) If A and B are dependent and P(A|B)=0.6, then P(A∩B)= P(B|A) = 2. All that is left in a packet of candy are 8 reds, 2 greens, and 3 blues. (a)What is the probability that a random drawing yields a green followed by a blue assuming that the first candy drawn is put back into the packet?
2. Given: P(A) = 0.4, P(B) = 0.7, and A and B are independent events. (a) (2 points) Find P(A and B) (b) (2 points) Find PA and B) (b) (c) (3 points) Construct the Venn diagram. А B @ (d) (2 points) Find P(B) (d) (f) (2 points) Find P(A or B) (g) (2 points) Find P(BA) EC
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
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
consider Question 8 (0.1 points) Consider any two events A and B, such that P(A) = 0 and PB) +0. Which of the following statements is always FALSE? a) If events A and B are independent, then P(AB) = PA) and P BIA) - PB). b) If events A and B are disjoint, then PA and B) - 0. c) If events A and B are independent, then P{A and B) - 0. d) If events A and B are...
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...