I. Based on a random sample of 3 observations, consider two competing estimators of the population mean µ: (X1+ X2 + X3), î2 = 1 X1+-X2+÷X3 %3D (a) Are they unbiased? (b) Which estimator is more efficient? How much more efficient? 2. Let {X1, X2, . .., X„} be an independent random sample from Poisson(^), (a) Show that both X and S² are unbiased estimator of ). (b) Calculate the Cramer-Rao Lower Bound with respective to A. (6) Which estimator should be preferred and uvby?

Q: 98-3y-4

A: topic - algebraic operations like terms are added and subtracted to like terms

Q: 4x + 5=9 + 4x

A:

Q: 8+9-10

A: Given that                                            8+9-10 here we will use BODMAS B= Bracket  O=…

Q: 5-3x

A: Consider the given expression.

Q: 3x + 5x + 6 + 10 =

A: To solve these type of question follow these steps : Add same variables together and then equate.

Q: 25x4y2 − 36

A: This is is simple factorization question  Formula used (a2-b2)=(a+b)(a-b)

Q: -1 -3t, t

A:

Q: squareroot z+8=3

A:

Q: 2k-4k2

A: Given that

Q: 6x + 7 – 8x + 12 = 15

A:

Q: +1 27+1 1

A: For the solution of the problem follow the next steps.

Q: -7a²b³c -4 3a³b*c3

A: We will solve the  question in the following step.

Q: 4x2 5x2

A:

Q: 3x + 4 8 + x+12 8 x+8 6

A: To find the value of x.

Q: (5x6) 3xº

A:

Q: 3x8 x4x7x3x4x9=

A:

Q: (22-9)+(8+14)

A: The given expression is: (22-9)+(8+14)

Q: -5+2(8-12)

A: Use PEMDAS rule to simplify.First we work with the parenthesis. In it 8-12=-4

Q: (4/7 – 3V2)(2V7+5V2)

A: