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Statistics - Binomial Probabilities

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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 )

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Solution Summary

The step by step solutions with all the formulas used and procedure explained given in the attached solution file.
Following are just the final answers. For step by step detailed solutions, please download the attached solution file.
P(X < 500) = 0.4881
P(490 < X < 500 ) = 0.2138
P ( X > 500 ) = 0.4880
P ( X > 550 ) = 0.0007

Solution Preview

Given p = 0.50 q = 1 - 0.50 = 0.50
n = 1000

Mean = n× p = ...

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