Consider a binomial distribution. If the number of trials is increased, what happens to the expected value and to the standard deviation? Explain.

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Consider a binomial distribution. If the number of trials is increased, what happens to the expected value and to the standard deviation? Explain.

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Step 1

In a binomial experiment, the probability of obtaining a certain result is given by the following formula:

PX=x=Cn,xpxqn-x

where

->the required success rate is x.

->p is the probability that a trial will be successful.

->the probability of failing in a single trial is q.

->n is the number being sampled

Example of binomial random variable:

1. Flipping a fair coin 24 times and recording the number of heads that appear.

2. Rolling a die and recording the numbers.

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