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Consider the following scenario: . Let P(C) = 0.4 -Let P(D) = 0.5 -Let P(C |...
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...
A and B are two events such that P(A) = 0.4, P(B) = 0.5, and P(A|B) = 0.3. Find P(A and B). Select one: a. 0.6 b. 0.15 c. 0.12 d. 0.2
1. Consider dependent events C and D. P(C and D) = 0.018, P(C) = 0.3, P(D) = 0.5 Find p(C|D) and P(C|D) 2. Consider dependent events E and F P(E and F) = 0.072, P(E) = 0.06, P(F) = 0.09. Find P(F|E) 3. Consider dependent events A and B. P(A and B) = 0.036, P(A) = 0.12, P(B) = 0.4. Find P(A|B)
Please answer from a-d Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1,2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...
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).
6-10 help 6. If P(A) 0.4, P(B) 0.5, and P(A UB) 0.7, find a. P(A n B) b. P(A' U B') 7. A coin is tossed 4 times and the sequence of heads and tails is observed a. b. What is the sample space S for this experiment? Consider the following events: A [at least 3 heads) B- (at most 2 heads) C = {heads on the 3rd toss) D- (1 head and 3 tails) If the outcomes in S...
let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find P(A|B) QUESTION 25 Let A and B be any 2 events with p(A) 0.2; P(AUB) 0.35; P(A and B) 0.15 a.0.25 Find P(A|B) b.0.5 c.0.6 d.0.4
2.16 Suppose that P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.2. Find the following: a) P(AUB) b) P(A'B) e) PIA'(AUB) d) PIAU(A'B)
8-10 0.4, P(B)0.5, and P(A UB)-0.7, find P(An B) P(A' U B') 6. If P(A) a. b. 7. A coin is tossed 4 times and the sequence of heads and tails is observed a. b. What is the sample space S for this experiment? Consider the following events: A [at least 3 heads) B- (at most 2 heads) C- (heads on the 3rd toss) D - [1 head and 3 tails) If the outcomes in S are equally likely, find...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...