Let An=[0, (n−1)/n )={x∈R|0≤x< (n−1)/n }, for n=2,3,⋯ Define A = An = A1∪A2∪A3∪... Find A

Q: A coin is tossed three times. Let X be the number of heads that turn up. Find V (X).

A: Given:A coin is tossed three times.X be the number of heads that turn up.

Q: Let X-(1,0,-1,-V2)'. Then, |X|l2= Select one: a. 2 b. 1 C. 3

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Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: Let f(x)= Vx+ yx +Vx. Find f'(36) to the nearest tenth. Oa. 0.1 O b. 0.2 Oc. 0.3 Od. 0.4 O e. 0.5

A: Step 2 complete solution

Q: Suppose X ∼ Binom(n, p). Show that E[X] = np.

A: Suppose Its probability mass function is defined as,Where,

Q: en P(x >4|X

A: Given : Probability,p = 0.5 number of trial,n = 7 Let x be the random variable that…

Q: Give an example where A, B ⊆ X and |A| = |B| but |X ― A| ≠ |X ― B|.

A: This cannot be possible if we take X to be finite set so we have to think an example where X is…

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

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Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: Let v = [1] and let z = [¹] x The Projx is equal to k k [21] where

A: Our objective is given below:

Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: Letfandgbetwomultiplicativefunctionsand∈S.Wehavef◦(g◦F)= (fg)◦F.

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Q: (b) Let A¡ = [-i, 1] for every positive integer i. Find U A¡ and N1 Aj.

A: Given that Ai=-i,1 for every positive integer i. That is, A1=-1,1, A2=-2,1, A3=-3,1 and so on. To…

Q: If f(x1,..,x „,0) = g(6,0) h(x,..,x„), then ê® is Select one: a. sufficient b. efficient C.…

A: Introduction :-  We have to select most correct option for the given statement. Basically it is a…

Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

Q: |u| = |v| is equivalent to u =. or u =

A: Given that u=v Recall that the absolute value sign gives the positive output for both positive and…

Q: Let 0 &lt; a &lt; b. Use the Mean Value Theorem to show that

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Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: Let: A = {n € Z|0< n < 3} B = {Vn|n €Nand 1 <n < 4}

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Q: Find ||v||. v =i - j + k

A: In the dot product of two vectors, we have to multiply the corresponding components of vectors. The…

Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: Let u = Compute the following: ū• v = (1, −5, −1) and v = (-5,2,0). v.u ||ū|| ² - 3 (u.v) (-3ū) v =…

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Q: A gas station earns $2.500 in revenue for each gallon of regular gas it sells, $2.550 for each…

A: 1. The mean daily revenue for the gas station is $5,805. 2. The standard deviation of the daily…

Q: Show that |Z × Z|=|N|

A: ℤ represents set of integers ℕ represents set of natural numbers  To show ℤ×ℤ=ℕ We know that|ℕ|=α0…

Q: A container contains 50 green​ tokens, 15 blue​ tokens, and 4 red tokens. Two tokens are randomly…

A: The container contains 50 green tokens, 15 blue tokens and 4 red tokens. So, there are 50 green…

Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

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Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: Let z = 6ex²y³. Then: дz дх дz ду

A: We can solve this as follows:

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: Let X N(10, 23). Then P( X< 10) =

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Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Let P(C|D) = 0.2, P(D) = 0.3 and P(C|D) = 0.4, then C and D are Select one: a. disjoint b. not…

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Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

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Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that