(a) P(2 < Xs 5), (b) P(3 < X s 7), and (c) P(X 2 6). *

Q: For what x is -x³ < 2x² and 5x < 2x² ?

A: From the given  problem: -x3&lt;2x2 So,…

Q: Evaluate lim 2r²+1) X-1 3x2-2

A:

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: uppose Var(X) = 93, Var(Y) = 98, and X and Y are independent. What is Var(.6X + .4Y)?

A: Answer: - Given,  Var(X) = 93, Var(Y) = 98, and X and Y are independent.                 What is…

Q: 2x³-x+1 2x² +5x+12 What is lim X-00 2x² -?

A:

Q: a² +7< 3 - |5x - 3|.

A:

Q: what is the domain of  (x+8)/(x+1)

A: Consider the function

Q: How does x over 3-1 change into x-3 over 3, is it a rule?

A:

Q: Differentiate the following: (a) (2x – 1)*. (b)(5x + 1)* (3 – 2x)* -

A:

Q: Suppose Var(X) = 52, Var(Y) = 41, and X and Y are independent. What is Var(.89X + .11Y)?

A: Given: Var(X) = 52 Var(Y) = 41 X and Y are independent. Formula Used: VaraX+bY = a2Var(X) + b2Var(Y)…

Q: (t + 7)² – 49 lim

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: 3/4(8y-9)&lt;3

A: We multiply both sides by 4 first.

Q: [2(×-1)+4]&lt;-16

A: Given