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