c ) = P(E) − P(EF ) (b) P(Ec F c ) = 1 − P(E

Q: D) If flx) = -x -11 ; find the following. 1) 4A-2) +5A(1) 2) 3f(5) × f(2) %3D A9) 3) -5(12) - 2f-9)…

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

Q: Show directly that f(n) = n2 + 3n3 Î (n3). That is, use the definitions of O and W  to show that…

A:

Q: (5) If z = xf (2) +g (2), then the value of Z. + 2xy- + y?. is Əxdy (а) -1 (b) 0 (c) 2 (d) 3г

A:

Q: Evaluate (a) Ex=0 Xp(X) and (b) Ex=0 X² p(X), where p(X) = (Np°q\ -x. %3D

A: The expectation of a discrete random variable X is a measure of central tendency of the probability…

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: 4s – 1 L-1 Is?(s+ 1)3

A:

Q: Q3: If P(X= x) = a 8(x) + b 8(x + 1); then a + b = A) 0.5 B) 0.3 C) 0.4 D) 1 E) None

A: Given: P(X=x)=aδ(x)+bδ(x+1)

Q: Show that m > (2). m! = (2″ − 1)(2″ − 2) (2¹ – 2²)... (2¹ — 2n-1). -

A: The given problem is to show the following condition m> nC2 for the given inequality.

Q: -25 -3e c) s+2

A:

Q: The function f(n) = 1.5n+√√n is (n). O True O False

A:

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: 2- Find f(t) for F(s) = s+4s+20

A:

Q: Let r(t) = the number of road-runners in year t, and let c(t) the number of coyotes in year t. Then…

A: The objective of the question is to find the values of r(1) and c(1) for different initial…

Q: If f(x) = (2) 54 (c) 1 3x-3 3¹-x + 3x² 54 (55) Σ. 15) is r=1 xe Q, then the value of E (b) 27 (d) 55

A:

Q: Given a p.m.f. f(x) of a d.r.v. x as follow: x = 1,4 f(x)=5 0 O. W

A: Moment Generating Function (MGF) The moment generating function (MGF) of a random variable X is a…

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: If g(2)=5 and f(5)=22 then (f o g)(2)=

A:

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: 29 x) = [42] (4), x(t) x(o)= [?]

A:

Q: Suppose P(E1|E2)=0.46P(E1|E2)=0.46, P(E2|E1)=0.92P(E2|E1)=0.92, and P(E1)×P(E2)=P(E1)×P(E2)=0.28.…

A: Conditional probability formula : P(A | B) = P(A n B) / P(B)

Q: √√x²+2x dx= Select one: a. None of them b. (x + 1)√x² + 2x - 1 In ( x + 1 +√x²+2x() + C C. 1 +In 1 1…

A: The integral we are trying to solve is ∫√(x²+2x) dx. This is a non-standard integral and requires…

Q: (c) Will it always be true that W C X f(W) S (X)?

A:

Q: If h(t)=t3*4 , then h(2)=?

A: Given h(t) = t^3*4 To find h(2), so here put t =2 to find the answer.

Q: Qe if xしz)= 0.5(マ+1) (し2) す! (そ-1)(マ-0.6) |

A:

Q: Find P(C/A) and P(C) if p(A1) = 0.6 B1 0.8 0.7 C. A1 C2 A 2 0.7 B2 0.8 [Hint: P(C/A) =…

A: Given: pA1=0.6, pA2=1-pA1=1-0.6=0.4 PB2/A2 0.8 PB1/A1 0.8 PC1/B1 0.7 PC2/B2 0.7

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: 5) h(n) =-2n² + 4; Find h(4)

A:

Q: Find F(0) if F (t) == L-! 16 82 (s+4) O 16 O 4 O 2

A:

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution:

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: a) f(t) = esec(20) + In(2t² + 5)

A:

Q: 6. Show that (x, y) = 1/2 (||x + y||² − ||t||² — ||ý||²) -

A: Given; <x,y>=(llx+yll2-llxll2-llyll2)/2.

Q: 28-3 s+s-2 3. 2¹{F(s)} for F(s)=-

A: 3.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.