Suppose approximately 44% of all students study after midnight. For random sample ofn=3students, letXbe the number of students that study after midnight.

A)Complete the following table for the binomial distribution ofX

Keep at least 4 decimal places.

X P(X)

0

1

2

3

B)Determine the mean and standard deviation ofX

Keep at least 4 decimal places.

1. The expected value ofX=
2. The standard deviation ofX=