Solve the problem. A teacher designs a test so a student who studies will pass 88% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 81% of the tests taken. On a given test, what is the probability that student passes? O 0.495 O 0.209 O 0.734 O 0.713
Solve the problem. A teacher designs a test so a student who studies will pass 88% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 81% of the tests taken. On a given test, what is the probability that student passes? O 0.495 O 0.209 O 0.734 O 0.713
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:**Problem to Solve: Probability of Passing a Test**
A teacher designs a test such that a student who studies will pass 88% of the time, but a student who does not study will pass only 11% of the time. A certain student studies for 81% of the tests they take. On a given test, what is the probability that the student passes?
**Answer Choices:**
- 0.734
- 0.495
- 0.2209
- 0.713
This problem requires an understanding of conditional probability and the law of total probability to determine the overall likelihood of the student passing a test, considering their study habits and the success rates associated with those habits.
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