Problem #2: Suppose that two teams play a series of games that ends when one of them has won 3 games. Suppose that each game played is, independently, won by team A with probability. Let X be the number of games that are played. (a) Find P(X = 5) (b) Find the expected number of games played.

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A: here given ,  The following is the enrollment at a university by major. Intermediate Algebra 5%…

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A: Given: P(A) = P(B) = P(C) = 1/3 P(D|A) = 10/20 P(D|B) = 9/12 P(D|C) = 8/12

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A: A bag contains 3 red marbles, 7 blue marbles and 8 green marbles. If three marbles are drawn out of…

Q: Find P(-1.18 < z < 1.18). Type your answer...

A: Z~N(0,1) then find  P(-1.18&lt;Z&lt;1.18)

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A:

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A: Let A denote the colour of the first ball drawn from the urn. Let B denote the colour of the second…

Q: Recent research suggest that 43% of residents from certain region have a home phone, 95% have a…

A: P(home phone)=0.43 P(cell phone)=0.95 P(both)=0.41

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A: The price per kilo of mangos in euros are sold:  and

Q: Teams A and B play in a basketball tournament. The first team to win two games in a row or a total…

A: Teams A and B play in a basketball tournament. The first team to win two games in a row or a total…

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Q: let X~N (20,0.36), if P(X<b) then the value of bis = 0.05

A: X~N(20,0.36) Mean(μ)=20 standard deviation(σ)=0.36

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A: A random variable X denotes the dealer's profit (in $1000s) on a new automobile. The…

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A: dartboard has 6 equally sized slices numbered 1 to  6 .  1,3,6 are white coloured 2,4,5 are grey…

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A: Mean =14.4 standard deviation =16.6 sample size =1005

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A: Here, we have to obtain the conditional probability that both the children are girls , when it is…

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A: A store runs a sale exclusively for their club members every 20 days. If Marcus joins the club on…

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A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

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A: There is total 12 candies in the bag.

Q: Problem #8: A system consists of five components is connected in series as shown below. 3 5 As soon…

A: Mean = 97Distributed mean = 120Probability atleast 59 weeks

Q: part c is not correct i

A: The given table represents the security analyst’s expected return on two stocks and the market index…

Q: For all A, B ∈ F with A ⊂ B holds P(A) ≤ P(B).

A: lets  first define the  equation  P(B) = P(A) + P(B∩Ac) Here , P(B):Represent the probability of…

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A: To determine the number of cylinders with diameters less than or equal to 50.0 mm, we need to…

Q: f X is uniform on [2, 6]. Find a. P(X > 3), b. P(4 ≤ x ≤ 5)

A: X~U(2,6) a=2   , b=6

Q: Lucy observed cars passing on a highway for 1 hour and recorded the data shown below. Vehicle…

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Q: Suppose that the following information about random variable X is given: (0 b 3.5

A: Here, From Given function, P(x&lt;0)=0P(x≤0)=12P(x≤1)=35P(x≤2)=45P(x≤3)=910P(x≤3.5)=1

Q: Let P, Q, R be events in a sample space S and suppose the following: Pr[P] = Pr[Q] = Pr[ R] = 0.30…

A: The required answer is : P(P¯ ∩Q¯∩R¯ ) = 0.39

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Q: Five distinct numbers are randomly distributed to players numbered 1 through 5. When- ever two…

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A: A bag contain n marbles, two of which are blue

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A: