Finite Math Examples

Find the Probability P(x<1) of the Binomial Distribution
, ,
Step 1
Subtract from .
Step 2
When the value of the number of successes is given as an interval, then the probability of is the sum of the probabilities of all possible values between and . In this case, .
Step 3
Find the probability of .
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Use the formula for the probability of a binomial distribution to solve the problem.
Find the value of .
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Find the number of possible unordered combinations when items are selected from available items.
Fill in the known values.
Simplify.
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Simplify the numerator.
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Expand to .
Multiply by .
Simplify the denominator.
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Expand to .
Subtract from .
Expand to .
Multiply by .
Multiply by .
Divide by .
Fill the known values into the equation.
Simplify the result.
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Multiply by .
Anything raised to is .
Multiply by .
Subtract from .
Subtract from .
Raise to the power of .
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