(b) The time taken (in hours) by students to complete a statistics assignment can be modelled by the continuous random variable X. The probability density function of X is given by 32 (3x²-2x²³), 0≤x≤1 1/2, otherwise, (i) (ii) f(x) = {27 0, [Show your answer in fraction.] Find the cumulative distribution function of X. Find the probability that a student took between one quarter and three quarters of an hour to complete the assignment.
(b) The time taken (in hours) by students to complete a statistics assignment can be modelled by the continuous random variable X. The probability density function of X is given by 32 (3x²-2x²³), 0≤x≤1 1/2, otherwise, (i) (ii) f(x) = {27 0, [Show your answer in fraction.] Find the cumulative distribution function of X. Find the probability that a student took between one quarter and three quarters of an hour to complete the assignment.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
Related questions
Question
PLEASE HELP WITH THIS QUESTION ONLY CORRECT ANSWERS WILL BE UPVOTED
![(b)
The time taken (in hours) by students to complete a statistics assignment can be
modelled by the continuous random variable X. The probability density function
of X is given by
32 (3x²-2x²³), 0≤x≤1 1/2,
otherwise,
(i)
(ii)
f(x) = {27
0,
[Show your answer in fraction.]
Find the cumulative distribution function of X.
Find the probability that a student took between one quarter and three
quarters of an hour to complete the assignment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c81f4b3-67f2-4bd5-9928-aedd7c882622%2F1651e994-60a0-4e57-9fa2-a524fced85e1%2Fqd37pil_processed.png&w=3840&q=75)
Transcribed Image Text:(b)
The time taken (in hours) by students to complete a statistics assignment can be
modelled by the continuous random variable X. The probability density function
of X is given by
32 (3x²-2x²³), 0≤x≤1 1/2,
otherwise,
(i)
(ii)
f(x) = {27
0,
[Show your answer in fraction.]
Find the cumulative distribution function of X.
Find the probability that a student took between one quarter and three
quarters of an hour to complete the assignment.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill