2. A fair die is successively rolled. Let X and Y denote, respectively, the number of rolls necessary to obtain the first 6 and the first 5. For example, suppose the results from the first 7 rolls are 3.2.5,3,1,5,6. Then X = 7 and Y = 3. Find (a) E[X]; (b) E[Y|X = 1]; (e) E[XY = 4]. Give your answers to three decimal places.

Q: 3) Find x if IS = x and IQ = 2x – 5 S. R

A: given,     IS=x , IQ=2x-5

Q: Let X - U[10, 30] and A = {x < 15}. 1. P(A) = 2. E(X|A) =

A: Given: X~U10, 30 and A=x≤15

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A:

Q: Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. %3D a. f(g(-3)) b.…

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Q: 1 de 4-cose .A 14 .B 13 .C 15

A: Consider the provided question, ∫0π214-cosθdθ let u=tanθ2=∫0125u2+3du=2·∫0115u2+3du

Q: For each n e N, let A, = (}, } + ) %3D Find Unen An. Find Nnen An.

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Q: ,6 .6 .6 If | f(x)dx=10 and f(x)dx=3, then || F(4 – x)dx=? -2 A) 6 В C) 7 D) 10

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Q: 3. 2. 4. LEA f(x) 192 2 6. -1 nisg(x) 0sbi bne gni2lot ent bnit 1 (x)04 x- 5 . Use the tables above…

A: a)Let us take  But from given table Since inverse of f exists , so f is one-one Therefore, we have

Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

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Q: If a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even…

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Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: 3. Theorem ZG =. 101 H

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Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: Determine if S3 e S3 is solvable.

A:

Q: Suppose X has the following pmf. X PX If px (6) = ¾px (4), E (X²) = 15.9650. O True False 1 0.230 2…

A: Here we have given the question, we have to identify the given statement is true of false using…

Q: 13.Simply (²²)³()*(w) ise 3 43 -2 is equal to

A:

Q: х Pr Product .3 2 a .4 .4 2 7 h

A: Consider the given table, X Pr Product=X×Pr 0 .3 0 2 a .4 5 .4 2 7 b c

Q: Find the value of c if, P(Z < c) = 0.25 а. -0.67 b. -0.0987 c. 0.67 d. 0.0987

A: Given, P(Z&lt;c) =0.25

Q: Calculate 10T OA. -32/3T O B.-2/3 T Oc.-16 7 C.-16 T OD.-16/37 O E. None of these

A: The solution for the asked question is given as

Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…

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Q: We roll a six-sided die 10 times, and let X be the number of rolls where it the die at least 5. Find…

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Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

A:

Q: We roll a six-sided die 10 times, and let X be the number of rolls where it the die at least 5. Find…

A: It is given that a six-sided die is rolled 10 times.

Q: Suppose that A and B are two positive numbers and that x = In(A) and y = In(B). Write the following…

A:

Q: 1. Now we are going to list all the cosets of H in G. (a) Let G = S4 and let H = D4. How many cosets…

A: The complete solutions are given below

Q: Does it change if α is 0.05?

A: Does it change if α is 0.05?

Q: part 4

A: Solution: It is given here:

Q: If x = -0.8, then [x – 1] = 1. -2 2. -1 3. -0.8 4. 1

A: Greater integer of x is integer number that is less than or equal to x