Suppose that your cool prof gave you the following probability density function for a random variable X: f (x) = = e-(x+e¬*) for x E R (a) Verify that f(x) is a valid probability density function (b) Find the moment generating function for X. (c) Find the moment generating for the transformed random variable

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: How do I solve?

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Q: 12. Solve the following: 5x + y = A+1 2x + y = 10

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Q: How do I solve?

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Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

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Q: 1. Let f(x) = 2x² – x. Find and simplify the difference quotient: f(x+h) – f(x) h

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Q: The point is i need explanation on how to solve each question.

A: Hi thanks you for posting this question  , since you have posted multiple subparts as per our policy…

Q: 4. Compute 23 -1 23 4 2 0

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Q: Prove the equations = 1 and x= x+2 are x-2 equivalent?. Explain why or why not.

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Q: My question was how to solve it ? I neeed to know how to do it step-by-step too.

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Q: 2. Translate each of the following phrases into a mathematical expression. Use as few variables as…

A: Translate each phrases into mathematical form

Q: Which of the following equations that use only the numbers 2 and 3 and various mathematical symbols…

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Q: the question didnt have any other information would you be able to solve part d

A: d) It is given that two standard deviations below from the mean is considered as unusually low.

Q: But what is the value of y? Need the solution for y as a actual number.

A: An equation,

Q: 7. 3x-y 2 and y =- x-11 %3D 9. Y 1-5 and 21 + 81 = 56 4. =D56

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Q: 31. (y +1)4 + 4(y +1)² + 4 = 0

A: y+14+4y+12+4=0Let t=y+12 ,equation becomest2+4t+4=0t2+2t+2t+4=0tt+2+2t+2=0t+22=0 We have repeated…

Q: 3. EVALUATE EACH OF THE FOLLOWING: A. 23 X (31-4²) =

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Q: Solve. 2r + 8 4 2r - 4 2 The solution set is

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Q: Solve. x+y+z = 3 2x +y-z = 8 x-y+z = - 5 The solution set is {OID}: (Simplify your answer.)

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Q: I have attached the screen shot of the questions. I need help solving the entire problem but…

A: From the given triangle, we have

Q: b. Solve y = x² + 1 and 2y = 3x+ 4

A: Solve by eqn

Q: Is your answer to question 3 the real solution or an extraneous solution? Explain how you know

A: The equation to find the volume isAnd the volume is

Q: The solution set of the equation 0 = x + 12x + 27 is: a. x = 3 and9 b. x = -3 and -9 C. X = 12 and…

A: Simplify and find value of x

Q: b, =b,-1 + kb, -2; b =1 and b, =1

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Q: QR %3D S 36 + 2x 'R 8x - 6

A: Given: A polygon whose all sides are equal. So, QR=RS

Q: following is known about three numbers: If the second number is subtracted from the sum of the first…

A: SOLUTION-

Q: 5. Solve each of the following equations for x: a. 3x+7=9x+1 b. 16+3 64*-5 =

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Q: 1. Solve for x: 6-3(4+x) = -3(-2x+6) 2. Solve for x: et - 2 = 10 3.

A: Given: 1) 6-3(4+x)=-3(-2x+6) 2)  ex/3  -2=10

Q: 1. Solve the simple equations: 7x -2 19 - 4x + 3 = 1 3 2 2x + x- 13x + 6= 0 2 Solvo uei

A: Solution

Q: Answer the rest of the question in full solutions and details

A: Given that,gx=2x2-50x2+8x+15The asymptotes, end behaviour, intercepts are determined as shown below.

Q: Does the solution it address the three additional people drawing?

A: It is related to binomial probability : P(X=x) = nCx*px*qx    p= 12/52 = 0.23 q= 1-(12/52) = 0.77

Q: Could you explain step by step the solution? Thank you.

A: From the question : N=20 computers p(virus enter) = 0.4 Now :  q(virus does not enter)= 1- p = 1-0.4…

Q: 12) Solve by Elimination a. 5x - 7y =-17 x+7y= 5

A: Since you have posted more than one question  we have solved the first question for you.  For…

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A: