Let y be a random variable. In a population, μy=95 and o=44. Use the central limit theorem to answer the following questions. (Note: any intermediate results should be rounded to four decimal places) In a random sample of size n = 107, find Pr (Y <97). Pr (Y <97) = (Round your response to four decimal places)

Q: (-14) + (–7)

A:

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: 1+7/7 + 8

A: Answar would be 10

Q: 9/12+3/24

A:

Q: (4 – a2)

A: To integrate.

Q: 5)235

A: Answer : 47

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 3x 13)

A:

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: y27x+2

A: y &gt;= 7x/4 +2

Q: 18(9+7)+3

A: 18(9+7)+3

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 11 –/7

A:

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: expand (x+y)6

A:

Q: (S+a?) (s*+b?)

A:

Q: 3 3/4 + 2 7/28

A:

Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 6 1/6 + 6

A:

Q: 8(14-9)+5 32+6

A: The given expression is

Q: O 1.4 1.4

A: Given: 4:48