Let X and Y be independent random variables with the distributions X ∼ Geometric(p = 1/3) and Y ∼ Geometric(p = 2/3). Find Pr[X = Y].

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A: X~N(18.2,1)n=36

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Q: [Q1] For the discrete PDF below, find: (a) E[X], (b) E[4 — 3X²]. - x 3 4 6 f(x) 0.36 0.3 0.34

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Q: (E) = 1825, P(F)=1/25, and P(FE)=25. Find P(E UF).

A:

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Q: A mother duck lines her 7 ducklings up behind her. In how many ways can the ducklings line up?

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Q: Let A = {3,8}, B = {8, 12, 22}, D = {34} and S = sample space = A UBUD. Identify A°. a) {3, 12, 22,…

A:

Q: 18. In a cricket match, A batsman hits six sixes in 30 balls played. Find the probability of not…

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A: Given  and

Q: Suppose D and C are independent events in the same sample space. If we know that Pr [D] = ½ and…

A: If events D and C are independent, then Pr[D ∩ C] = Pr[D] × Pr[C]. So, Pr[D ∪ C] = Pr[D] + Pr[C] −…

Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).

A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

Q: 1. Using a Venn diagram or otherwise, given that P(A'^B) = ½², P(B) = ³½³ and P(A' ^ B') = 3/3 3 5 1…

A: The given data is as follows:

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A: The formula of the confidence interval is,where,

Q: (iii) Given that the events A and B are such that : 3 P(A) = P(AUB)= and P (B) = p. 2' Find the…

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Q: lependent random variables has a unique stationa

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Q: 1. A phycologist is interested in determining the proportion of algae samples from a local rivulet…

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Q: Please do the following questions with full handwritten working out . Answer is in the image

A: I am attaching solution below please rate helpfullExplanation:

Q: 2) In tossing a fair die repeatedly (and independently on successive tosses), determine the…

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Q: 51 57 21 If P(A)= P(B)= and P(A/B)=. then P(B/A)= 100 100 43 43 a) 78 b) 17 26 22 17 10 d) 10 22 19

A: From the provided information,

Q: probability

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Q: probability

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Q: In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form…

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Q: 1. A phycologist is interested in determining the proportion of algae samples from a local rivulet…

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Q: A distribution of values is normal with a mean of 91.5 and a standard deviation of 5. Find the…

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Q: Probability Scores 0.45 4 0.15 8 0.05 10 0.25 12 0.1 14 Find the variance of the above random…

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