1- sin0 lim а) 1+ cos 20 2

Q: Evaluate   2 - 5 . 4 - [ 6 . ( 3 - 4 ) ]

A: Given: Let y=2-5.4-6.3-4 To Find: To evaluate the given expression

Q: e S- dt = e21 + 3e' +2

A:

Q: One of the following subsets of R² is not subspace. Select one: а. X1 S={ X1=2x2} b. S={ ,X1 =X2} C.…

A: We will check that which subset is not a subspace of R2

Q: -3 33 5-2

A:

Q: If we have the system of equations x + y-z =1. 2x+2y- 2z 0, then r[A|b] = 2 and r(A) = 1

A: The given system is: x+y-z=12x+2y-2z=0

Q: If f(x) 2 0, then [ flx)dx Select one: O True O False

A: F(x) is postitive so area under the curve is above x-aXis so it is positive.

Q: For each distribution, simulate a sample of N = 200 and compute empirical mean, empirical standard…

A: Given information: n = 200 N0.5,4 As per guidelines we will only answer the first three subparts,…

Q: dx_ -In x – 2 |x+2 X - + C x² – 4 - 4 Select one: O True O False

A:

Q: If A is a 5 x 5 matrix, B is a 2 x 5 matrix, and C is a 3 × 2 matrix, which of the following matrix…

A: 1. A set of numbers arranged in rows and columns so as to form a rectangular array is said to be a…

Q: If A is a 4 x3 matrix and b a, + 3az , then the system Ax = b is consistent Select one: True False

A:

Q: 5-141. The graph below of y = f'(x), the derivative of some function f, is composed of straight…

A: Local maxima or minima are the points at which:1. f'(x) = 02. f'(x) changes its sign while crossing…

Q: x² 6. Find the area of the largest rectangle that can be inscribed in the ellipse =1. 9. 4 Hint: Use…

A:

Q: 8-6*4+10/2=

A: 8-6*4+10/2

Q: If A= then determinant (A) =1 Select one: O True False

A:

Q: 3\4 of 20

A: Consider the given: 34 of 20"Of " symbolise "Multiplication"

Q: 53. Faxt3

A: Given that, xa-1=ax+3 We need to solve it for x.

Q: 4 1 Let A = then the eigenvalues of A are: 1 4 Select one: а. 5,5 b. 3,-3 с. 5,0 d. 3,5

A: Given matrix:

Q: Find a Bezier curve equation for the following curve which goes through Po, P1, P2, P3, P4 and P5 as…

A: We have given  P1 = (2, 3)P2 = (2, 3)P3 = (3, 3)P4 = (3, 2)P5 = (4, 2)

Q: / Väde= 6.

A:

Q: Let A=[-5 2], B=[ 1 0]. Then 2A+3B= Select one: а. [-7 4] O . [-2 2] C. [-10 4] d. [-9 4]

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!