What is Pr(M∩T′)? What is Pr(M∪T′)? What is Pr((T′∩J)∪M′)? Enter your answers as a whole number or a fraction in lowest terms

Q: Let X - Geom(p). Let s 2 0 be an integer. Show that P(X > s) = (1 – p)s. (Hint: The probability that…

A: Geometric distribution In series of Bernoulli trials, the random variable X denotes number of trials…

Q: dp dq 2 if p = In(q7 + 7). Find dp dq ||

A: Simply use the chain rule of derivative and simplify.

Q: Events  A and B are disjoint. Pr[A] =0.25 and Pr[B] =0.35. Find Pr[A U B']

A: A and B are disjoint.  This means, that: PA∩B=0

Q: EX: اه - 1 1.2 2-7183 3.3.201 4.9530 6.0496 > &= • Find I (X₂), "Y (X₂) at X= 1.2 X= 1.6, X.= 2.2…

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Q: In PCA, we obtain z E Rk from x E R" as follows: T z = u(1) y(2) u(k) Which of the following is a…

A: Given that,In PCA, we obtain z∈Rk from x∈Rn as follows:z=|u(1)| |u(2)| ...…

Q: (6 y x - 2 y)d A R=[1, 4]×[0,3] 9 .A O 9 2 .B O 2 9.

A:

Q: find c if p(o<z<c)=.2123

A: Solution: Here, we need to find the value of c.

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: Suppose RC 1. prove that if B has a sup b, then A(U(B))

A: Given:- Suppose B⊂A and to be proved if B has a Sup b, then λ(ϑ(B))∩ϑ(B)=b

Q: 1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c)…

A: As per our guidelines we are suppose to answer only three sub parts.…

Q: Cor. 2. For three non-mutually exclusive events A, B and C, we have P(AUBUC) = P(A) + P(B) + P(C) –…

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Q: P(A)=0.02 and p(C)=0.07 determine p(A u C), given that A and C are independent

A: It is given that:And, A and C are independent events.

Q: Let a b. A = d Lg h i Find a. det(3A) b. det ((2A¬)) P Type here to search %23

A:

Q: If X has p.d.f. f(x) = .0sxs3 1o, 0.w. The probability that the quadratic equation 4t2 + 4tX + X +2…

A: From the given information, The quadratic equation is, 4t2+4tX+X+2=0. Here,  a=4b=4Xc=X+2 Condition…

Q: Suppose P(X) = 0.35 and P(Y) = 0.40. If P(X|Y) = 0.28, what is P(Y|X)? O (0.28)(0.40) 0.35 0.28 0.35…

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Q: Probability. Don't understand.

A: The objective of the question is to calculate the probabilities of certain events occurring when…

Q: Re(z,€,) = Re(*,)R (z,) O True O False

A:

Q: J and k are independent events. J given k =0.56. Find p(j)

A:

Q: Let V = xi+ 2yi + Ozk, then [v-V =

A: ∇ is an operator and ∇=∂∂xi+∂∂yj+∂∂zk

Q: For events A and B, prove that P (An B) >1– P (Aº) – P (Bº).

A: We want to prove the above result. Result: 0≤P(A)≤1

Q: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

A:

Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: If Z ~ N(0,1) what is P(-0.83 < Z < 1.06):

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Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: Q2 (Bayes' Theorem) It is given that P(B|A) – 0,15. P (B|A) = 0.03 and P (A) = 06. Compute P(A|B).…

A: Ac=A bar  P(B/A)=0.15, P(B/Ac)=0.03, P(A)=0.60, P(A/B)=?

Q: 1. Max and Patty decide to repeatedly gamble by throwing a fair die. Max is declared winner in a…

A: As per our guidelines I can solve only first question. Kindly post the remaining questions again…

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: Let X have the pmf, Find the pmf of Y = X4. p(x) = (-)". 2 x= -1, -2, -3, ...

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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: L[t?e-3t] = ? 3! 3! (s+3)2 (s+3)3 2! 2! (s+3)2 (s+3)3

A: To find- ℒt2e-3t = ?     Formula Used-  ℒtneat = n!s - an+1

Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

A:

Q: J and K are independent events. P(JK) = 0.3. Find P(J).

A: Two events J and K are given.

Q: A computer-consulting firm presently has bids out on two projects. Let A= [awarded project 1] and B=…

A: The condition of two independent events is-PA∩B=PA.PB

Q: Find P(C/A) and P(C) if p(A1) = 0.6 B1 0.8 0.7 C1 A1 C2 A2 0.7 B2 0.8 %3D [Hint: P(C/A) =…

A: Probability mass function P(X=xi) Simple facts about pmf  ∑(X=xi) =1iP(X=xi ∩ X=xj)=0 if i≠jP(X=xi ∪…

Q: r = |7| , ř = 2xi – 3yj + zk let V(2r), v°(r) find all of

A: Vector Differentiation

Q: Which of the following is a cube root of – 2.3 – j1.25 1.3782 + j3.3075 -1.3593 - jo.2276 -1.3782 -…

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Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

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Q: Let A = {m € Z/m = 4k +8} where k = Z, and let B = {n € Zn = 2r + 2} where r = Z. Show |A| = |B|.

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Q: 4xdx Evaluate J ax+41

A: Here I am attaching image so that you understand each and every step.