From the book.
An automobile manufacturer has three factories; A, B, and C. They
produce 50%, 30%, and 20%, respectively, of a specific model of
car. 30% Of the cars produced in factory A are white, 40% of those
produced in factory B are white and 25% produced in factory C are
white. If an automobile produced by the company is selected at
random, find that probability that it is white.
The medal distribution from the 2000 summer Olympic games is shown
in the table.
|
Gold |
Silver |
Bronze |
| United States |
39
|
25
|
33
|
| Russia |
32
|
28
|
28
|
| China |
28
|
16
|
15
|
| Australia |
16
|
25
|
17
|
| Others |
186
|
205
|
235
|
Gold, silver and bronze totals are 301, 299, and 328,
respectively.
The row sums are 97, 88 ,59, 58, and 626.
Total medals is 928.
Choose one medal winner at random.
What's the prob. that it's gold?
i. Find the prob that the winner won the gold medal, given that
the winner was from the United States?
ii. Find the prob that the winner was from the United States,
given that she or he won a gold medal?
iii. Are the events "medal winner is from the U.S" and "gold medal
was won" independent? explain
A medication is 75% effective against a bacterial infection.
Find the probability that if 12 people take the medication, . . .
a. Everyone's infection is cleared.
b. at least 1 person's infection will not improve.
If 3 people take the medication, what's the probability that
exactly one is not cured?
The probability that a given tourist goes to amusement park is
0.47, and the probability that she goes to the water park
0.58. If the probability that she goes to either the water
park or the amusement park is 0.95, what is the probability that
she visits both of the parks on vacation?