Let p= 29 and q = 31, and let e = = 101 %3D (a) Find n = pq and o(n). (b) Find d.

Q: If x + y = 4 and xy = 2, find x² + y² %3D

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Q: 5) Given that P(A) = 0.28, P(B) = 0.47, and P(ANB) = 0.09 find: %3D P(A B) = P(B A) = P(AUB) =

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Q: 7. 2)

A: Given,          A right triangle is shown below :

Q: y(6) –4y(5) +3y/) =-27 %3D

A: The given differential equation is y6-4y5+3y3=-27. We have to find the solution to the given…

Q: H.W. Solue the followi'ng 3. px+9y

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the reference number t for eac a) t=D좋 b) t = %3D 3 ´c) t = %3D d) t = - 5 6

A: Find the reference number  k for each of the following values of  't'a  t=7π8      The reference…

Q: Given, P(A or B) = 0.80, P(A') = 0.48 and P(A and B) = 0.20 Find P(B)?

A: P(A∪B) = 0.80P(A') = 0.48P(A∩B) = 0.20P(B) = ?

Q: QA, Solve the Ive : y'= [2+Y-2)", y lo) =2.

A: Using substitution method to variable separable form.

Q: 6.3d Q1/B: If v? = 1:8L tanh find v when d E 40 and L L 315. %3D %3D

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Q: 6i = (x+i)(y+i)+1

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Q: Let f(x, y) = 160 2x2-3y² 2a? – For which value(s) of y is f(4, y) = 10? y =

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Q: Given P(A) = 0.45, what is the P(A')? 0.45 O 0.55 O 1

A: P(A) = 0.45 P(A') = ?

Q: E(X) = 2 2r re %3D = 0.32

A: In the given integration,  Let  First function be x and second function be e-2x

Q: If y = x* then y atx is equal to %3D Select one: a. b.1 C. 2 d-1

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Ho:p = 0.5 Ha: p > 0.5 Which of the fo Select one:. a. Zc = 1.6 %3D b. Zc 0. %3D C. Zc = 3. %3D d.…

A: It is known that for a large sample size, it is more likely to get a large test statistic.

Q: A researcher conducts an independent- measures research study and obtains t = 1.75 with df = 32. How…

A:

Q: (21)3 if z1 = 1230°, z2 = 1260°, and z3 = 1245°, find , (z3)% %3D 1275° O 1Z175° O 1Z125° O 125°

A: We have to find out

Q: %3D =D3e %3D 4.

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Q: (d) P(X + Y = 4),

A: A discrete random variables are those variable which can assume only a finite, or countably…

Q: If y = 3(8 – y) and y(1) = 10 what is y(0)? %D y(0) = %3D

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Q: xe2x (1+ 2x)2 dx : : 1 (a) None a

A: Let I=∫012xe2x1+2x2dx

Q: C) y(x + y)dx + x(3x--5y*)dy

A: solution given the differential equation  y ( x2 + y 2) dx + x ( 3x2 -5y2) dy =0rewrite the…

Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

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Q: If y = x²+2 then y' at æ = 1 Is equal to %3D Select one: a. 3 b. C. d. -3

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Q: d?y Calculate dx2 y = 4x0.8 – 7x d?y dx2

A: Given : y = 4x0.8-7x

Q: 5 f(x) dx = | f(x) dx = 3.8, find | f(x) dx. If 12 and

A: I=∫15fxdx=12I1=∫45fxdx=3.8

Q: If f(x, y) = Vx³ + y³, %D t. find f(0, 5).

A: Given: To find:

Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: Find the order and degree MN olx dx2

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Q: if fcx) : gex) = X 11 X+ 1 find DE n Dg 2.

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Q: Let ř (t) = (1", 21, In ()). (a) Find T (t). (b) Find N (t). (c) Find x (t)

A: Given, r(t)→=t2,2t,ln(t)

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js .

A:

Q: Given f(x) = 5x - 3, find f(-3).

A: Consider the provided function, fx=5x-3 Find the value of f-3.

Q: H.w E X3:- +4

A: We have the difference equation: yk+4+16yk=0

Q: Dodiameter (m) deluxe D=27mm %3D =27mm 1000m 0:027m A=dred 4 A- (0.027) =

A:

Q: 600

A: Given: y=6001+199e-0.5t To find: How many were infected initially (t=0)  and the end of 7 days

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

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!