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Statistics - Binomial Probabilities

Question :
Assuming that X is a binomial random variable with n = 1000 and p = 0.50, find each of the following probabilities.
(a) P( X < 500 )
(b) P( 490 < X < 500 )
(c) P( X > 500 )
(d) P( X > 550 )

Attachments

Solution Preview

Given p = 0.50 then q = 1 - 0.50 = 0.50
Mean = 500 and Standard ...

Solution Summary

The detailed step by step solutions are given in the attached solution file with explanation of procedure and formulas used.
Following are the final answers.
P( X < 500 ) = 0.4880

P( 490 < X < 500 )=0.2138

P( X > 500 ) = 0.4880

P( X > 550 ) = 0.0007

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