Suppose X is uniform on {6, 8, 10, 12, 14, 16}. What is Var[X]? A B C D E 27/12 33/12 35/12 35/3 35/4

Q: (e) If each fn has at most a countable number of discontinuities, then f hasat most a countable…

A: Consider the example: fnx=1q             x= pqwith p,q∈N, gcdp,q=1,q≤n0             otherwise So,…

Q: A container contains 35 green tokens, 20 blue tokens, and 3 red tokens. Two tokens are randomly…

A: From the given information, there are 35 green tokens, 20 blue tokens and 3 red tokens. Total number…

Q: If you were asked to find R6 on the interval [4,10], what x values would be evaluated? 5,6,7,8,9,10…

A: To find R6, we partition the given interval [4, 10] into six equally spaced sub intervals.

Q: Using the Mean Value Theorem, prove that √1 + x² 0. Make sure to check all the necessary conditions…

A:

Q: what is M<E

A: Solution-As the solution is given,

Q: How many finite functions exist of the form f: {1, 2, 3,...,m} {1, 2, 3,..., n}? How many of them…

A:

Q: 3x-4 *P 4

A:

Q: Use the Mean value Theorem to prove that 1/9 ≤ √66 - 8 ≤ 1/8

A: Use the Mean value Theorem to prove that

Q: A container contains 35 green tokens, 5 blue tokens, and 3 red tokens. Two tokens are randomly…

A: There are total (35+5)=40 non-red tokens and 3 red tokens in the container.  And total (35+5+3)=43…

Q: Construct A so thatN(A) = all multiples of(4,3,2,l). Its rank is __ .

A: We have to construct a matrix A so that NA=all multiples of 4, 3, 2, 1 and also find its rank.

Q: Let X-N(65,36) P(x> 55) = O 0.5232 none O 0.9525 0.98077

A:

Q: (c) If each fn has a finite number of discontinuities, then f has a finite numberof discontinuities.

A: The given statement is: If each fn has finitely many discontinuities then f has finitely many…

Q: 5) Circle all of the following that represent functions 1 4 2 5 A in out in out 5 5 6 23 3 6 4 6 1…

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Q: 4x + 4 f(x) = {√ √²/√x + √// 0<x< 7/7/20 X 4 0 otherwise x < <0

A: To find the quantile and cumulative distribution function (CDF) for the given probability density…

Q: Prove that xk = x* mod |G| for x € G for any integer k.

A: Prove it considering two cases.

Q: A17 Let Xx² (99). What is Var(X)? Answer to A17:

A: X~chi square (99) We have to find var(X)

Q: Let X-N(65,36) P(x<70)= O 0.50798 none O 0.98077 O 0.76973

A:

Q: 5(x+1) =x+1 if x = 1. O True O False

A: By solving this equation we get,

Q: Which of the following sets are countable? ORIN {7,99, 512}. 1 1 1 .}. " 10 100 1000 The set of all…

A: We know R is uncountable and N is coutable.  So, R \ N is uncountable [as R = (R \ N) U N, if R \N…

Q: Evaluate each of the expressions in a -j (if evaluation is not possible, or undefined, write NULL)…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Let f and g be permutations on the set {1, 2, 3, 4, 5, 6, 7, 8}, defined as follows Which of the…

A:

Q: 3. Let f = ax² + bx + c, for a, b, c real numbers and a ± 0. Prove that f is a prime in R[x] if and…

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Q: 1. Let J₁ = {0, 1,2,3} and define f: J₁ J₁ and g: J₁ J₁ by f(x) = (x + 3)² mod 4 and g(x)=x²-3x +- 5…

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Q: Let S: Z+Z+ be a function given by the following:S(n) = sum of the divisors of n, for all n E Z+.…

A: Given that S:Z+→Z+ be a function such that S(n)= Sum of the divisors of n, for all n∈Z+.