Example: (k (x+1) p(x) = P) is p.d.f. I x = 1,2,3,4 elsewhere Ep(x)=1 k(1+1)+ k(2+1)+k(3+1)+ k(4+1) =1 14k =1 =k == 14 allx

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: 1. A ball is drawn from a 4 blue and 3 red balls it is replaced and ano ocess goes on 16 tim

A: An urn contains 5 white, 4 blue and 3 red balls. Total balls is 5+4+3=12. P(red)=3/12=0.25 Let X be…

Q: d. [10 [ 7x= [37] X 6 8 Then X = 00

A: *Note: As per Bartleby's guidelines, in case of multiple questions only the first question is…

Q: 3. Find P(P (P (0))).

A: In the given question, the concept of a void set is applied. Void Set The empty set is a…

Q: Consider a small shop with only one checkout counter. The arrivals of customers are distributed…

A: Solution Dear student as per guidelines we answer the first question only when multiple questions…

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: compute (2A)T − (3B)T

A:

Q: max  z =  x1 + 3x2 s.t.      x1 + 2x2 ≥ 6          2x1 +  x2 ≤ 8           x1, x2 ≥ 0 For the LP…

A: A LPP is written in standard form as  max (or min) z = c1x1 + c2x2 + · · ·+ cnxn subject to a11x1 +…

Q: Find x, y, z, and w. x y z 8 (x + 7)] = [ (2² (2x - 3) X -1 W (9 + y) -8

A:

Q: 16) n = 4; 2, 1 and 3 + 3i are zeros; f(1) =78 %3D

A:

Q: The graph of fis shown. Graph f. f' and f" on the same set of coordinate axes. -6-5-4-3 -2 -1₁ 1-2…

A:

Q: uppose that S is the set of successful students in a classroom, and that F stands for the set of…

A: Given that expression we have to find the value of

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

A: From the information, given thatThe formula of the conditional probability, for any two events…

Q: B = {x|x E N and x is even}

A:

Q: (5) {1,2} C P({1, 2}).

A: Given  set is {1,2},  we knew that power set of a given set is set of all subsets of the given set.…

Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

A: Markov Chain: A Markov Chain is a random process describing a sequence of possible events in which…

Q: (7) Let X = P(2) and E-x)= E(5– 5x), then 2 is. (a) 25/26 (b) 26/25 (c) 12/26 (d) 26 (e) None of…

A: Given X~Pλ and E15x=E5-5x

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.