john likes to hike during the summer he can usually hike about 3 miles every hour but when it's really hot he swims in mountain
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Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Person has the flu.
- Event B: Person got the flu shot.
The percentages associated with getting the flu are:
- 20% of 30%(got the shot).
- 65% of 70%(did not get the shot).
Hence:
The probability of both having the flu and getting the shot is:
Hence, the conditional probability is:
0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
To learn more about conditional probability, you can take a look at brainly.com/question/14398287
(1) , and
Subtract this from to get a remainder of
What we've done here is show that
We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.
Next, , and
Subtract this from the previous remainder to get a new remainder of
which means
Finally, , and
Subtract this from the previous remainder to get
So we end up with
(the quotient is the expression in the box)
(2) Using the same process as before: