solution - Millersville University
solution - Millersville University
solution - Millersville University
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(b) If a girl scout is selling cookies to people who randomly enter a shopping mall, what<br />
is the probability that the next box sold will be Peanut Butter Patties/Tagalongs or<br />
Peanut Butter Sandwich/Do-si-dos?<br />
Let event A be that the next box sold is Peanut Butter Patties/Tagalongs and let event<br />
B be that the next box sold is Peanut Butter Sandwich/Do-si-dos.<br />
P(A or B) = P(A) + P(B) = 0.13 + 0.11 = 0.24<br />
since the events are mutually exclusive.<br />
(c) If a girl scout is selling cookies to people who randomly enter a shopping mall, what is<br />
the probability that the next box sold will be Thin Mints, Samoas/Caramel deLites,<br />
or Shortbread/Trefoils?<br />
Let event A be that the next box sold is Thin Mints, let event B be that the next<br />
box sold is Samoas/Caramel deLites, and let event C be that the next box sold is<br />
Shortbread/Trefoils.<br />
P(A or B or C) = P(A) + P(B) + P(C) = 0.25 + 0.19 + 0.09 = 0.53<br />
since the events are mutually exclusive.<br />
(d) What is the probability that the next box sold will not be Thin Mints?<br />
Let event A be that the next box sold is Thin Mints.<br />
Exercise 20<br />
P(A c ) = 1 − P(A) = 1 − 0.25 = 0.75.<br />
Olympic Medals The following data represent the medal tallies of the top eight countries<br />
at the 2004 Summer Olympics in Athens.<br />
Country Gold Silver Bronze<br />
United States 35 39 29<br />
China 32 17 14<br />
Russia 27 27 38<br />
Australia 17 16 16<br />
Japan 16 9 12<br />
Germany 14 16 18<br />
France 11 9 13<br />
Italy 10 11 11<br />
(a) Is a medal is randomly selected from the top eight countries, what is the probability<br />
that it is gold?<br />
The table above lists 457 total models and 162 of these are gold medals, thus p = 0.354.
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