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
icon
Related questions
icon
Concept explainers
Question
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 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning