Determine the standard deviation

Let x be a random variable that represents the number of students who are absent on a given day from a class of 25. The following table lists the probability distribution of x.

X P(X)
0 0.08
1 0.18
2 0.32
3 0.22
4 0.14
5 0.06

a) Determine the following probabilities:

p(x = 4), p( x > 4), p ( 2 < x < than 4), and p( x greater than 1).

b)Determine the expected number of absent students on a given day.

c) Compute the variance of x by the definition.

d) Compute the variance of x by the short cut formula.

e) Determine the standard deviation of x

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Basic Statistics: Determine the standard deviation
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