# What is the variance of a binomial distribution for which n = 75 and p = 0.20?

75 x

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The answer is

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The variance of a binomial distribution is given by the formula ( \text{Var}(X) = np(1 - p) ), where ( n ) is the number of trials and ( p ) is the probability of success on each trial.

Substituting ( n = 75 ) and ( p = 0.20 ) into the formula:

[ \text{Var}(X) = 75 \times 0.20 \times (1 - 0.20) = 75 \times 0.20 \times 0.80 ]

[ \text{Var}(X) = 15 \times 0.80 = 12 ]

So, the variance of the binomial distribution with ( n = 75 ) and ( p = 0.20 ) is ( 12 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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