# 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 )

https://brainmass.com/statistics/probability/statistics-binomial-probabilities-106044

#### 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

$2.19