Question

QUESTION 9

Die Question 2

A regular, i.e., six-faced and balanced, die will be rolled
twice. Let the random variable X be equal to the result of
subtracting the number obtained on the second roll from the number
obtained on the first roll.

Find the variance of X.

a.

2.9167

b.

5.8333

c.

8.75

d.

11.6667

e.

none of the above

Answer #1

X |
P(X) |
X.P(X) |
X².P(X) |

-5 | 1/36 = 0.0278 | -0.1389 | 0.6944 |

-4 | 2/36 = 0.0556 | -0.2222 | 0.8889 |

-3 | 3/36 = 0.0833 | -0.2500 | 0.7500 |

-2 | 4/36 = 0.1111 | -0.2222 | 0.4444 |

-1 | 5/36 = 0.1389 | -0.1389 | 0.1389 |

0 | 6/36 = 0.1667 | 0.0000 | 0.0000 |

1 | 5/36 = 0.1389 | 0.1389 | 0.1389 |

2 | 4/36 = 0.1111 | 0.2222 | 0.4444 |

3 | 3/36 = 0.0833 | 0.2500 | 0.7500 |

4 | 2/36 = 0.0556 | 0.2222 | 0.8889 |

5 | 1/36 = 0.0278 | 0.1389 | 0.6944 |

Total | 1 | 0 | 5.8333 |

Variance, σ² = Ʃ(X².P(X)) - μ² = 5.83333333333333 - 0² =
**5.8333**

**Answer B.**

QUESTION 8
Die Question 1
A regular, i.e., six-faced and balanced, die will be rolled
twice. Let the random variable X be equal to the result of
subtracting the number obtained on the second roll from the number
obtained on the first roll.
Find P open parentheses X less or equal than 3 close
parentheses .
a.
0.8889
b.
0.8611
c.
0.9167
d.
0.8333
e.
0.8588

A die is rolled six times.
(a) Let X be the number the die obtained on the first roll. Find
the mean and variance of X.
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Find the mean and the variance of Y

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Two identical fair 6-sided dice are rolled
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PROBLEM #2
Suppose you play a game in which a fair 6 sided die is rolled
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