QUESTION TWo a) The weekly wages of employees of Volta gold are normally distributed about a mean of $1,250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying; i) Between $1,320 and $970 ii) Under $1,400 ii) Over $1,290 b) An achievement test was administered to a class of 20,000 students. The mean score was 80 and the standard deviation was 11. If Lingard scored 72 in the test, how many students did better than him?

Q: xdx 5. I 4x 2 * – 4x +1

A: Given, ∫xdx4x4-4x2+1    ∫dx3x-73 We have to evaluate the integral

Q: 1. S dx 2 3x +12x+15

A: Formula to be used I=∫1x2+a2dx=1atan-1xa+c

Q: exp(iz) = 1+ iV3.

A:

Q: -4/5+v=1/3

A:

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: & lve by line x=+I and line y I

A: The integration of [(x2+xy)dx + (x2+y2)dy].

Q: -t,x-1 dt

A: Please see the explanation below

Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

A:

Q: 14-t2 dt

A:

Q: (5)Find x if. i. e* = 3, ii. Inx = 2 iv. 32-x = 27, v. 8x+1 32. %3D

A:

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: 【g火) ニ

A:

Q: t-1+2 dt

A:

Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: 3 3 + x dx

A:

Q: 8(7x – 5)7 dx

A:

Q: 9. f 6 sec¹ xdx

A:

Q: 2t/t-2 = 4/t-2 +1

A:

Q: 2. fote-t² dt

A:

Q: S sec²(3 – 2x)dx

A: ∫sec23-2x dx Put, 3-2x=t⇒0-21=dtdx⇒-2 dx=dt⇒dx=-dt2

Q: Differentiate. Find ele ele ele ele ele AP O AP O for y=x-1 Whatsa AP O 2x³ - 3x² (x −12 - 2x3+3x2…

A:

Q: 2x+ス+ dx ャX-ス

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: (5, 2)

A:

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: 4. I dr 2r + 1 r-1

A: NOTE: Refresh your page if you can't see any equations. . here we can write  1=-2+3

Q: dy =Log. Loc

A: Using logarithmic property we can solve this problem.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.