Let X ~ N(0, 1). For any € > 0, show that P(|X| > c) ≤ ²c - ??

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

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Q: Suppose PEL(V) and P2 = P. Prove that V = null(P) ☺ range(P)

A: V=null(P)⨁range(P)Explanation:

Q: 12. For each n € N, define A, = [0, 1+] and B₁ = [0,1]. - =1 (a) Prove that U1A,, is an interval,…

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Q: If X ~ N(5,2). Calculate P(X<6) [Draw a figure]

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

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

Q: Q2. | For what values of a, b and c does the function 6, x = 0 f(x) = {2x2 + a, bx + c, 0 <x < 2 2…

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Q: A federal study showed that 63.8%of occupants involved in a fatal car crash wore seat belts. Ofthose…

A: Define the events: E : Event that the occupant was ejected from the vehicle A: Event that the…

Q: Let a, b eR with a < b. Assume that a + <b - for all n E N. Show that b- = (a, b). %3D n n=1

A: We will show  two sets are equal.

Q: EVADA Sale 4) Let f(x) = 5+ Vx and consider f(x) on the interval [16,36. Find the value of c that…

A: Statement of Mean Value theorem.f(x)=5+sqrt(x) is defined and continuous in [16,36] and…

Q: 05. What is the positive interval for y =l-3x - 6| + 2? A. (-∞, –2) B. (-2, +∞) C. (-∞, +∞) D.…

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Q: If Z ~ N(0,1) what is P(−0.68<Z<−0.56): ____

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Q: Let X={X1, X2, X3, X4, X5) and A = 0.7

A: Given: To explain the correct option of the given statement as follows,

Q: It is given that X~N( 30, 5). Find P(27<X<33)

A:

Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

A: We have given thatP(A) = 0.4P(B) = 0.7We have to show that0.1 ≤ P(AB) ≤ 0.4

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

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Q: Let a, b eR with a < b. Assume that a + <b - for all n e N. Show that n n=1

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Q: Let X~ N(20,9). Find P(X < 23) Select one 0 1587 b 0 *c08413 P. d 05398

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Q: Which of the following function is NOT Q, (n)? А. п —333п? nlgn С. п-1gn D. 219 n E. None Е.

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

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Q: It is given that X~N(30,5). Find P(27<X<33)

A: Given : X~N(30,5)

Q: Let X~ N (24, 49), Find P( 10<X< 38)

A: Given sample are: 24, 49 Mean of these samples are: μ=24+492=36.5 Standard deviation:…

Q: Let X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently. 1.…

A: X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently.

Q: Suppose that  |f′(x)|≤2021| for x∈(−1,1).  By use of the mean value theorem,  find an estimate of…

A: We have to find an estimate of  |f(x1)−f(x2)| for any x1 and x2 in  (−1,1).

Q: Let s = {x €N : 2 < x < 9} and T = {x eN : 5 s x < 14}. Then snT = {x €N : 5s x < 9}. Select one: O…

A: We have to choose the correct option.

Q: 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…

A: Solution-: Suppose X is uniform on {6,8,10,12,14,16} We want to find Var(X)=?

Q: Let be a particular value of x. Find the value of x such that the following is true. .P(x>x) =0.05…

A: As per guidelines expert have to answer first question three subparts only dear student please…

Q: Give the value of c in the interval [-1, 2] that satisfies the conclusion of the mean value theorem…

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Q: 22) let XnN20, 036), iF P(X<W) = 0.05 th the value of wis

A: Given that, X~N(μ=20, σ=0.36) To find the value of W when P(X&lt;W)=0.05