The score of a student on a certain exam is going to be a number between 0 and 1. Think of it as the percentage of correct answers on the exam. Suppose the student passes the exam if their score S is at least 0.60 and fails otherwise. If the probability density function of a student score S is given by 4x f(x) = 4 4x <<1. 0. otherwise If the student passes the exam, what is the probability that their score S was at least 0.75?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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The score of a student on a certain exam is going to be a number between 0 and 1. Think of it as the
percentage of correct answers on the exam. Suppose the student passes the exam if their score S is
at least 0.60 and fails otherwise.
If the probability density function of a student score S is given by
4x
f(a) =
4 – 4x < <1.
0.
otherwise
If the student passes the exam, what is the probability that their score S was at least 0.75?
O 18.38%
O 12.50%
O 30.86%
O 39.06%
Transcribed Image Text:The score of a student on a certain exam is going to be a number between 0 and 1. Think of it as the percentage of correct answers on the exam. Suppose the student passes the exam if their score S is at least 0.60 and fails otherwise. If the probability density function of a student score S is given by 4x f(a) = 4 – 4x < <1. 0. otherwise If the student passes the exam, what is the probability that their score S was at least 0.75? O 18.38% O 12.50% O 30.86% O 39.06%
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