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Next: Exercise 4.3 Up: No Title Previous: Exercise 4.1

Exercise 4.2

1.
Let X denote the number spun on a fair spinner with the numbers 1, 2, and 3 on it. Determine the probability model of X.
2.
In the last problem, suppose we spin the the spinner twice. Let S be the sum of the numbers spun. The range of S is 2, 3, 4, 5, 6. Use a tree diagram to determine the probability model of S.
3.
Repeat the last problem if the spinner is spun 3 times.
4.
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}. Use a tree diagram to determine the probability model of X.
5.
Repeat the last problem under sampling with replacement.
6.
Let X denote the number of hearts 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}. Use a tree diagram to determine the probability model of X.
7.
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. Use a tree diagram to determine the probability model of Z. What is the range of Z? Is it discrete or continuous?

next up previous
Next: Exercise 4.3 Up: No Title Previous: Exercise 4.1

2000-08-26