3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given by: f (x) = ca + for 0 < x <1 a. Find c. Enter c as a reduced fraction. C = b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given
by:
f (x) =
= ca + for 0 sæ<1
a. Find c. Enter c as a reduced fraction.
C =
b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers.
F(x) =
c. Find the probability that a student takes less than 30 minutes to complete the exam. Enter the probability
as a reduced fraction.
prob =
d. Find the median length of time to take the exam. Enter your answer in hours with 4 decimal places.
median =
hours
e. Find the length of time for the first 10% of the students to complete the exam. Enter your answer in hours
with 4 decimal places.
hours
answer =
f. Find the expected value, variance, and standard deviation of X. Enter your answer in hours with 4 decimal
places (or hours squared in the case of variance),
hours
expected value =
Transcribed Image Text:3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given by: f (x) = = ca + for 0 sæ<1 a. Find c. Enter c as a reduced fraction. C = b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers. F(x) = c. Find the probability that a student takes less than 30 minutes to complete the exam. Enter the probability as a reduced fraction. prob = d. Find the median length of time to take the exam. Enter your answer in hours with 4 decimal places. median = hours e. Find the length of time for the first 10% of the students to complete the exam. Enter your answer in hours with 4 decimal places. hours answer = f. Find the expected value, variance, and standard deviation of X. Enter your answer in hours with 4 decimal places (or hours squared in the case of variance), hours expected value =
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