**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- 0.713This 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.

Given that P(Pass| study)=0.88 P(Pass| not study)=0.11 P(study) =0.81 P(not study) = 1-0.81=0.19

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

**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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