4. At a certain university it has been estimated that the probability that a male freshman will major 1 1 in math is and the probability that a female freshman will major in math is 10 15 The freshman class is 55% male. If a student chosen at random from a freshman class is a math major, find the probability that the student is male.

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Using Bayes rule solve #4 please
1
Q
A
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Flashcards Capitulo 12 X
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3. A certain disease can be detected by a blood test in 95% of those who have it.
Unfortunately, the test also has a 2% probability of showing that a person has the disease when in
fact the person does not. It has been estimated that 1% of those people who are routinely tested
actually have the disease.
If the test shows that a certain person has the disease, find the probability that the person actually
has it.
E
4. At a certain university it has been estimated that the probability that a male freshman will major
in math is and the probability that a female freshman will major in math is
10
1
1
15
The freshman class is 55% male. If a student chosen at random from a freshman class is a math
major, find the probability that the student is male.
D
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Transcribed Image Text:1 Q A N Flashcards Capitulo 12 X - с fordham.blackboard.com/ultra/courses/_6173581_1/outline/file/_5151241_1 2 W S File X дв H command # 3 X 3. A certain disease can be detected by a blood test in 95% of those who have it. Unfortunately, the test also has a 2% probability of showing that a person has the disease when in fact the person does not. It has been estimated that 1% of those people who are routinely tested actually have the disease. If the test shows that a certain person has the disease, find the probability that the person actually has it. E 4. At a certain university it has been estimated that the probability that a male freshman will major in math is and the probability that a female freshman will major in math is 10 1 1 15 The freshman class is 55% male. If a student chosen at random from a freshman class is a math major, find the probability that the student is male. D Google Translate C $ 4 R F X V % 5 Bayes' Theorem - The X T G 6 B MacBook Pro Y H M Inbox (10,541) - annie X 7 N U J * 8 I M M Document shared with X 9 K O < ☆ I H Tp 8 * - O L command P A. I 9 : Theology Essay #2 - 0 x O ; L { [ option + = ? T 11 1 } 1 +
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