A dartboard is divided into 9 equal-size sectors, numbered 1 through 9. A player throws a dart randomly at the dartboard, so that any point on the surface of the dartboard is equally likely to be hit. Let event E be that the dart hits an even-numbered sector and event F be that the dart hits sector 3. 3 2 a) Find P(E) and P (E'). b) Find P(F) and P(F'). 4 9 6 7 8 ..... a) P(E) = (Simplify your answer. Type an integer or a fraction.) P(E') = (Simplify your answer. Type an integer or a fraction.) c) P(F) = (Simplify your answer. Type an integer or a fraction.) P(F') =D (Simplify your answer. Type an integer or a fraction.)

Q: The event that exactly one of the events A or B occurs can be represented as (An B') U (A'n B). Show…

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Q: Let A,= {2,4,6,..., 2i) where i = 1, 2, 3, ... ex A7 (2.4.6.8, 10, 12, 143 Find A F4 {2,4,.., 2n-3}…

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Q: 16) Use the given diagram to calculate P[(A U B)| C) A. 0.2500 B. 0.4127 C. 0.0848 0,25 0.02 0.01…

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Q: Toss a fair coin two times. If you get two tails roll a 6-sided die, otherwise roll a 4-sided die.…

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A: Let X be the random variable whose pdf is given by fX(x)=(b/π)b2+x2

Q: Suppose P(A)= 4, P(B)= .5, following: Find the P(ANB) a. b. P(A'nB) с. d. P(A'UB') P(BA)

A: Comments: As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: X and Y are non independent events such that p(X)=0.6 p(Y)=0.7 and p(X u Y)=0.95 Find  a)p(X n Y)…

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Q: Toss a coin twice: if you get 2 tails roll a 4-sided die; else roll a 6-sided die. If X=roll on die…

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A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1,

Q: find P( X' ∩ Y)

A: Here given x and y mutually exclusive

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A: Given: Green balls = 4 Red Balls =5 Total balls = 4+5 = 9

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A: From the provided information, Mean (µ) = 170 Standard deviation (σ) = 30 X~N (170, 30)

Q: -> Ô https://www.webassign.net/web/Student/Assignment-Responses/last?dep=27886659 Insert =, as…

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Q: Suppose that P(A') = 0.4, P(B') = 0.5, P(An B) = 0.4. Find P(A), P(B), P(AUB), P(An B') and P(AIB).

A: given data P(A') =0.4P(B') = 0.5P(A∩B) = 0.4

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Q: (d) P(A)= (e) P(B) = (1) A AND B =

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Q: 15) A and B are events such that P(AUB) = 4 1 P(A^B)=; ‚and P(Ã)= ²3. 4 Find P(A|B).

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Q: d. -5,8,16,

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