If X is a random variable with the following probability distribution , Find E(x), E(X'), V(X) and E(2X+1)² 9 Total X=x -3 6 P(x) | T. 1 9-/3 -/6

Q: The manager of a bakery knows that the number of chocolate cakes he can sell on any given day is a…

A: Given, The probability mass function is: 0 1 2 3 4 5 1/12 1/12 3/12 4/12…

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Find the probability of x successes in 100 Bernoulli trials with probability p = 1/5 of success (a)…

A: Given: Number of trials (n)=100 Probability of success (p) = 1/5

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Q: 1. (a) A continuous random variable X has a p. d. f. f(x) = 3x?, 0 a) and (ii)P(X > b) = 0.5. (b)…

A: 1). a). Given P.D.F is: fx=3x2 : 0≤x≤1 i). For PX≤a=PX>a…

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Q: Consider the three functions I. f(x)= {1-x if 0 < x < 2 {0 otherwise II. f(x)= {1+x if 0 < x < 2 {0…

A: f(x) can be probability distribution function if integration|xf(x)dx = 1 It means the total…

Q: 12. Suppose that X is a random variable for which the m.g.f. is as follows: V(1) = (4 + e' +e) for…

A: The random variable X has a moment generating function ψ(t)=164+et+e-t        for -∞&lt;t&lt;∞ We…

Q: Suppose that E and F are two events such that Pr[E] = 17/29, Pr[F] = 13/29, and Pr[EN F] = 8/29.…

A: Given, P(E) = 1729P(F) = 1329P(E∩F)=829

Q: 4. Let X be a random variable taking positive values and assume that E(X) exists. Which of the…

A: Option (I) is correct as E(X2)&gt;= (E(X))2 when we find Variance.

Q: 5. and Y is The joint probability distribution function of two discrete random variable |x -y| 15…

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Q: Question 1: (5) A red and a green dice is thrown. Find the sum of the faces of the dice. Construct…

A: NOTE : As per Bartleby instruction when more then one question is given only one has to be answered.…

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A: According to guidelines we solve first question when given questions are different.

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A: X~U [a=0, b=6] For uniform distribution,

Q: 3. In a Binomial distribution if n= number of trials =8, given that 4P(x=5) =P(x3=3). Find the value…

A: Note: Hey, since there are multiple questions posted, we will answer one question. If you want any…

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A: INTRODUCTION:  Definition: Conditional Probability  suppose A and B are any two events. the…

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Q: The random variable 'X' has the Poisson distribution Po(m) and P(X=5) = P(X=4) + %3D P(X=3). Find…

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Q: 2) Required probability is given by 99 P(X 2 100) = 1 - (C")-0.01°- 0.99-3 = 1 - 0.0092427 0.990757…

A: Here the given probability calculation is given :

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Q: Suppose x is a normally distributed for continuous random variable with 4-10 and 6. Find value of xo…

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Q: d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X= 2).

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Q: Suppose that the unknown X is uniformly distributed between 0 and 2. What is the expected value of…

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Q: For a random variable X, suppose that E[X] = 1 and Var(X) = 5. Then %3D (a) E[(2+ X)²] = (b) Var(2 +…

A: We have given that  For a random variable X, E(X) = 1 Var(X) = 5 E(X2) +  [E(X)]2  = 5 E(X2) = 4

Q: When a man observed a sobriety checkpoint conducted by a police​ department, he saw 656 drivers were…

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Q: Establish the following: 0P (E)1 , P (A u B) = P (A) + P (B) – P (A n B) ,  P (A) = 1 – P (A’)…

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