Statistics

Weekly Assignments
In this assignment, please complete the following questions. Please
show all your work clearly.
1. The 1980 US. population, broken down by region and attitude
to legalization of marijuana, roughly turned out as follows:

All except East 0 51.8%

Is F independent of E?
2. Two dice are thrown and we are interested in the following
events:
E: first die is 5
F: Total is 7
G: Total is 10
Is the following a correct verbal conclusion? If not, correct it. “If I
am going to bet on whether the dice show 7, it will help (change
the chances) to peek at the first die to see whether it is a 5, if I am
going to bet on whether the dice show 10, a peek won’t help.”
3. In a family of three children, what is the chance of:
(a) At least two girls, given at least one girl?
(b) At least two girls, given the first is a girl?

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