# For binomial distribution with mean 20 and Standard deviation 4 , number of trials are Option 1) $20$ Option 2) $50$ Option 3) $100$ Option 4) $None$

Random Experiment -

If an experiment is performed many times under similar conditions and the outcome of each time is not the same, then this experiment is called a random experiment.

Example : Tossing of a fair coin.

-

we know that mean = nP

and standard deviation =$\sqrt{nPq}$

given that

$\\nP = 2D \\ nPq=16 \\ q=\frac{16}{20}=\frac{4}{5} \\ P= 1-\frac{4}{5}=\frac{1}{5} \\ \therefore n=100$

Option 1)

$20$

This option is incorrect

Option 2)

$50$

This option is incorrect

Option 3)

$100$

This option is correct

Option 4)

$None$

This option is incorrect

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