Make the answer clear please

Below is a population of five units. The study variable is denoted y. Unit y 1 5 2 12 3 8 4 4 5 6 Consider the following sampling design Possible sample Probability of observing this sample [Unit 1, Unit 4} 1/4 [Unit 2, Unit 3} 1/4 [Unit 5} 1/2 Suppose we use the simple sample mean y (i.e., the average of the observations) to estimate the population mean. What is var( y)? 2.73 4.01 0.16 3.56 5.54Below is a population of five units. The study variable is denoted y. Unit y 1 5 2 12 3 8 4 4 5 6 Consider the following sampling design Possible sample Probability of observing this sample {Unit 1, Unit 4} 1/4 {Unit 2, Unit 3} 1/4 {Unit 5} 1/2 Suppose we use the simple sample mean y (i.e., the average of the observations) to estimate the population mean. What is E(y)? a) 10.25 b) 7 c) 6.83 d) 6.625 e) 5.125random sample [without replacement, equal probabilities] of size n=2, {$1 1. $3], is taken- Denote the sample mean as _ $1+$2 $: 2 Which of the following is an unbiased estimator for population total? a} me b} 33 '5} NE d] 332 Consider a population with units {1,2,3,4,5} with population size N=5. A simple random sample (without replacement, equal probabilities) of size n=2, (@1, 2), is taken. Denote the sample mean as D = 2 If we choose the estimator f = Na to estimate the population total, what is E(7)? a)3 b) 14 () 12 d)15 d)10 e)9Consider a population with units {123,45} with population size N=5. A simple random sample (without replacement, equal probabilities) of size n=2,{:1i331;I 332}, is taken. Denote the sample mean as $1 + $2 2 . j : If we choose the estimator 7" : N5: to estimate the population total, what is vorl ) ? $45.33 b}243.?s on 8.?5 mamas e332? 0.33