4) The score of a student on a certain exam is represented by a number between 0 and 1. Suppose that the student passes the exam if this number is at least 0.55. Suppose we model this experiment by a continuous random variable S, the score, whose probability density function is given by: 4x for 0s xs; f(x)=. |4-4x for글xs1 otherwise 1) What is the probability that the student fails the exam? 2) What is the score that he will obtain with a 50% chance, in other words, what
4) The score of a student on a certain exam is represented by a number between 0 and 1. Suppose that the student passes the exam if this number is at least 0.55. Suppose we model this experiment by a continuous random variable S, the score, whose probability density function is given by: 4x for 0s xs; f(x)=. |4-4x for글xs1 otherwise 1) What is the probability that the student fails the exam? 2) What is the score that he will obtain with a 50% chance, in other words, what
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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:4) The score of a student on a certain exam is represented by a number between 0
and 1. Suppose that the student passes the exam if this number is at least 0.55.
Suppose we model this experiment by a continuous random variable S, the score,
whose probability density function is given by:
4x
for 0<x<
f (x)=
|4-4x for극sxs1
otherwise
1) What is the probability that the student fails the exam?
2) What is the score that he will obtain with a 50% chance, in other words, what
SCI 3560 – HW # 5
Page I of 2
is the 50th percentile of the score distribution?
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