Question

Step 1

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Necessary conditions that every random variable must have to follow the Binomial distribution: -

- Sample size n must be known and definite
- Each event must be independent of each other.
- Probability for each event must be same.

Step 2

Part a) Surveying 100 people to determine if they like Sudsy Soap.

Surveying hundred people and then to know whether they like sudsy soap, in this each observation is independent of each other, we know the sample size which is equal to 100 and probability that a person like sudsy soap is equal for all.

So, it follows the Binomial distribution.

Step 3

Part b) Tossing a coin 100 times to see how many heads occur

In tossing a coin 100 times, sample size n is known and equal to 100, probability for gettin...

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