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Next: Exercise 4.5 Up: No Title Previous: Exercise 4.3

Exercise 4.4

1.
Let S denote the sum of two numbers spun on a fair spinner with the numbers 1, 2, and 3 on it. The range of S is 2, 3, 4, 5, 6. Determine the probability model variance of S.
2.
Let X denote the number of aces in a 2 card hand drawn without replacement from a well shuffled standard deck 0f 52 cards. Then the range of X is {0, 1, 2}. Determine the probability model variance of X.
3.
Repeat the last problem under sampling with replacement.
4.
In the urn problem (with the balls well mixed ) discussed above, let Z denote the number of red balls in the sample (without replacement) of size 3. Determine the probability model variance of Z.



2000-08-26