solution - Millersville University
solution - Millersville University
solution - Millersville University
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(b) Is a medal is randomly selected from the top eight countries, what is the probability<br />
that it was won by China?<br />
The table above lists 457 total models and 63 of these were won by China, thus p =<br />
0.138.<br />
(c) Is a medal is randomly selected from the top eight countries, what is the probability<br />
that it is gold and was won by China?<br />
The table above lists 457 total models and 32 of these were gold medals won by China,<br />
thus p = 0.070.<br />
(d) Is a medal is randomly selected from the top eight countries, what is the probability<br />
that it is gold or was won by China?<br />
P(gold or China) = P(gold)+P(China)−P(gold and China) = 0.354+0.138−0.070 = 0.422<br />
(e) If a bronze medal is randomly selected from the top eight countries, what is the probability<br />
that it was won by Japan?<br />
P(Japan|bronze) =<br />
P(Japan and bronze)<br />
P(bronze)<br />
= 12/457<br />
= 0.079<br />
151/457<br />
(f) If a medal that was won by Japan is randomly selected, what is the probability that<br />
it is bronze?<br />
Exercise 34<br />
P(bronze|Japan) =<br />
P(Japan and bronze)<br />
P(Japan)<br />
= 12/457<br />
= 0.324<br />
37/457<br />
Pennsylvania’s Cash 5 In one of Pennsylvania’s lotteries, balls are numbered 1 to 39.<br />
Five balls are selected randomly without replacement. The order in which the balls are<br />
selected does not matter. To win, your numbers must match the five selected. Determine<br />
your probability of winning Pennsylvania’s Cash 5 with one ticket.<br />
Note that 39C5 = 575757, so<br />
P(win) =<br />
1<br />
= 1.73684 × 10−6<br />
575757
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