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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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