Let A, be a sequence of disjoint events, 1 < n < ∞, in a probability space, with P(An) 2. Let X be a random variable, where X = n on the event An. Compute E(X). 6 1

Q: he events A and B are independent such that P(A) =0.4 and P(A UB)= 0.88. Find P(B)

A: As per bartleby guideline expert have to answer first three subpart only dear student please upload…

Q: 2. Let X be a geometric random variable with parameter (the success probability) p. Let Ak be the…

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Q: Let X1, X2,. . . , Xn are independent and Xi follows Poisson(Ai) distribution, i = 1,2,... , n Use…

A: As per the questionX ~ Poisson (λ)Moment Generating function is given by

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Q: Let N be the set of all integers (x = r) and ( the class of all subsets of N.

A: Consider, the Measurable space,

Q: Let f(x) is probability function of discrete random variable x then Σικ) 1 صواب

A: Let, f(x) be the probability density function of district random variable X. we know that the…

Q: do №%₂ 6 should Cards r) find the 1) probability PPP) None адачу. are drawn from probability of…

A: Here, X~Bin (n,p) P(X=x)=Cxnpx(1-p)n-x  where, x=0,1,2,3,.....,n. Cxn=n!x!×(n-x)! where,…

Q: C. between 10 and 12 users, inclusive, of the 15 smartphone users do not upgrade their cell phones…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: ppose that 100 tags, numbered 1,2,..., 100, are placed into an urn, and s are drawn successively,…

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Q: Let A and Care independent events as follows : P(A)-0.4, P(C/ A)- )=0.5 and P(A/C)-0.4 find P(C)

A: Given  P(A)=0.4, P(C/A)=0.5, P(A/C)=0.4 P(C)= ?

Q: Let X be the number of students who show up for a professor's office hour on a particular day.…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: Let X and Y be two possible events with P(X) = 0.3 and P(Y) = 0.20 respectively. Assume that events…

A: The two probability values are P(X) =0.3 and P(Y)=0.20

Q: Let X and Y be two possible events with P(X) = 0.36 and P(Y) = 0.23 respectively Assume that events…

A: P(X) = 0.36 P(Y) = 0.23

Q: A discrete probability has the ff properties: Pr(N= k) = (3k+9 Pr№= k-1), k=1,2,3. .8k Determine the…

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Q: The probability generating function for a random variable X is given by: 1 1 ,10 1 1 ,20 .2 -725…

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Q: (Hardy-Weinberg.) Suppose that a particular gene occurs as one of two alleles (A and a), where…

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Q: Let X be a geometric random variable with p= 1/3. Compute E(X³).

A: Let X be a geometric random variable with p=1/3.

Q: The CDF F(x) of the random variable X is graphed below. a) What type of random variable is X?…

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Q: I roll a fair die twice and obtain two numbers X1 = result of the first roll, and X2 = result of the…

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Q: ransist aple transistors, then 1) find the probability that a sample has: i-One defective…

A: Since there are multiple questions, all parts from question 1 is answered.

Q: Let X be a discrete random variable with probability function P[X = x] = 3 ,x = 1, 2, 3, .. ... What…

A: Since , the probability function is given by ,  Our aim is to find the probability that X is odd.

Q: D. at least 1 user out of the 15 smartphone users do not upgrade their cell phones every two years.…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: LetK be a discrete random variable that can take the values 1, 2, and 3, all with equal probability.…

A: The function is given by: fx|k=1,k=12x,k=23x2,k=3

Q: Let X1 and X2 be discrete random variables with joint probability distribution x1 = 1, 2; x2 = 1, 2,…

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Q: The E be the event that a new car requires engine work under warranty and let T be the event that…

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Q: Consider the following probability space. S = {DG+, DG, Dg+, Dg-}, 0.64 if x = DG+ P({x}) = 0.20 if…

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Q: Let n e N, c > 0. Suppose that A1,..., An and B1,...,Bn are two families of independent events in a…

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Q: Let X be a random variable such that P(X) = 0.25 for T = 1,2, 3, 4. What is P(5)?

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Q: A random variable X has the following probability distribution, 1 3 4 P(X) C 2c 3c 4c 3c 2с C a)…

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Q: In a lottery game, a single ball is drawn at random from a container that contains 25 identical…

A: Event A = Prime number  Event B = Number greater than 12  A = 2, 3, 5, 7, 11, 13, 17, 19, 23 B = 13,…

Q: Maui played a game of darts where a player gets to throw six darts to burst balloons. Based on the…

A: Since Maui played a game of darts where a player gets to throw six darts to burst balloons and based…

Q: (2) Let A be a measurable event and let B₁,...,B₁, EA as well as C₁,...,Cm E A be partitions of the…

A: 2. Given information: Ω=∪i=1nBi=∪j=1mCj PCj&gt;0PBi∩Cj&gt;0 From the total probability condition,…

Q: The probability distribution of a random variable x is as shown in the following table: x -2 1 5 6…

A: Given, x -2 1 5 6 P(x) 0.16 ? 0.31 0.21 we know that total probability is equal to…

Q: Let E and F be events in a sample space S with probabilities p (E)= and p (F) = such that the…

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Q: In a lottery game, a single ball is drawn at random from a container that contains 25 identical…

A: Given :Total number = 25

Q: Let X be a random variable with the following probability…

A: Given: fx=c1-2x2+x3 x = 0, 1, 2, 3, 4, 5