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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