Suppose approximately 50%50% of all students study after midnight. For random sample of n=3 students, let X be the number of students that study after midnight. a. Complete the following table for the binomial distribution of X X P(X) 0   1   2   3   Round your answers to 4 decimal places Determine the mean and standard deviation of X b. The expected value of X is =   . Round your answer to 4 decimal places c. The standard deviation of X is =   . Round your answer to 4 decimal places

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose approximately 50%50% of all students study after midnight.
For random sample of n=3 students, let X be the number of students that study after midnight.
a. Complete the following table for the binomial distribution of X
X P(X)
0
 
1
 
2
 
3
 
Round your answers to 4 decimal places
Determine the mean and standard deviation of X
b. The expected value of X is =
 
.
Round your answer to 4 decimal places
c. The standard deviation of X is =
 
.
Round your answer to 4 decimal places
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