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Chapter 1: Problem 4

Give one example each of sampling with and sampling without replacement.

Short Answer

Expert verified
An example of sampling with replacement is drawing a ball from a bag, noting its color and then putting it back before the next draw. An example of sampling without replacement is drawing a ball from a bag, noting its color but not putting it back before the next draw.

Step by step solution

01

Example for Sampling with Replacement

Consider a bag containing 5 red balls and 5 blue balls. If one ball is drawn randomly and its color is noted and then it is put back in the bag before the next ball is drawn, we're sampling with replacement. Basically, with each new draw, we could potentially draw the same ball again as the population of balls remains constant (10 balls).
02

Example for Sampling without Replacement

Consider the same bag with 5 red balls and 5 blue balls, but this time we draw a ball, note its color and don't put it back before the next draw, we're sampling without replacement. With each new draw, we have less and less balls in the bag, as removed balls are not replaced. The population decreases with each draw.

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Most popular questions from this chapter

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