# There are 100 ropes with 200 ends. You randomly pair the ends, and tie together each pair. Let L...

## Question:

There are 100 ropes with 200 ends. You randomly pair the ends, and tie together each pair. Let L be the number of loops. Find E(L).

## Expectation

The mean value is the measure of central tendency. The expected value or the mean value, both are the same but are used in different contexts. The mean value is generally used in probability distribution context and the expected value in the random variable context.

## Answer and Explanation:

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There are 100 ropes with 200 ends.

There are two ways to tie the loop.

The first case is that the two ends do not belong to the...

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Chapter 5 / Lesson 10Many companies consider doing surveys and market research but are not sure whether the expense is worth the data that will be collected. This lesson helps explain how to calculate the expected value of sample information.