This is a Statistics problem. Please code in R if needed. The problem I'm having difficulty understanding with is shown below: Question 1Suppose that a hat contains slips of papers containing the numbers 1, 2 and 3. Two slips of paper are drawn,as in a) and b). Estimate the expected value and standard deviation of the product of the numbers on theslips of paper.a) Two slips of paper are drawn with replacement.Answer:в «- 1000x <- replicate (B,prod (sample(c(1,2,3), 2, replaceTRUE))head (x)## [1] 4 6 3 3 2 3mean (x)## [1] 4.076sd(x)## [1] 2.483222b) Two slips of paper are drawn without replacement.Answer:в «- 1000x <- replicate (B,prod (sample (c(1,2,3), 2, replace = FALSE))head (x)## [1] 3 6 6 6 3 2mean (x)## [1] 3.655 sd (x)## [1] 1.689624c) Why is the expected value and standard deviation smaller when sampling without replacement?

From the given information, the hat contains slips of papers containing the numbers 1, 2 and 3. Two…

Answered: Suppose that a hat contains slips of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that a hat contains slips of papers containing the numbers 1, 2 and 3. Two slips of paper are drawn, as in a) and b). Estimate the expected value and standard deviation of the product of the numbers on the slips of paper. a) Two slips of paper are drawn with replacement.