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Consider the situation where you have three game chips, each labeled with one of the numbers 5,6,& 7 in a hat:
a. If you draw out 2 numbers with replacement between draws, list the entire sample space of possible draws.
Define 2 events as follows for parts b to h below:
Event A: the sum of the 2 drawn numbers is odd
Event B: the sum of the 2 drawn numbers is a multiple of 3
Now, using your answer to part a. find the following probability values:
b. P(A)=
c. P(B)=
d. P(A&B)=
e. P(A or B)=
f. P(A given B)=
g. P(not B)=
h. Are events A and B mutually exclusive? Why or why not?
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Then test to see whether it considerably varies from 0 [use alpha = 5%]. Don't forget to identify the null and alternative hypotheses.
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