3.6. The random variable X takes the value of 5 with a probability of 0.30 and has a triangular distribution in the range [0, 20] as shown in the following figure (Fig. 3.6). a) What should be the value of the coefficient k so that X has a valid probability density function? Write down the equation that specifies the probability distribution of X. b) Find the mean, median and mode values of X. c) Find the variance, standard deviation and coefficient of variation of X. d) If it is known that X will not get a value greater than 15, what is the probability that X will be greater than 12? 3-16 CE 589 (2021-22 Spring Semester) 0.3 fx(x) Xx 0 5 10 20 20 Figure 3.6 Problem 3.6 MSY
3.6. The random variable X takes the value of 5 with a probability of 0.30 and has a triangular distribution in the range [0, 20] as shown in the following figure (Fig. 3.6). a) What should be the value of the coefficient k so that X has a valid probability density function? Write down the equation that specifies the probability distribution of X. b) Find the mean, median and mode values of X. c) Find the variance, standard deviation and coefficient of variation of X. d) If it is known that X will not get a value greater than 15, what is the probability that X will be greater than 12? 3-16 CE 589 (2021-22 Spring Semester) 0.3 fx(x) Xx 0 5 10 20 20 Figure 3.6 Problem 3.6 MSY
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
Related questions
Question
![3.6. The random variable X takes the value of 5 with a probability of 0.30 and has a triangular
distribution in the range [0, 20] as shown in the following figure (Fig. 3.6).
a) What should be the value of the coefficient k so that X has a valid probability density
function? Write down the equation that specifies the probability distribution of X.
b) Find the mean, median and mode values of X.
c) Find the variance, standard deviation and coefficient of variation of X.
d) If it is known that X will not get a value greater than 15, what is the probability that X will
be greater than 12?
3-16
CE 589 (2021-22 Spring Semester)
0.3
fx(x)
Xx
0
5 10
20
20
Figure 3.6 Problem 3.6
MSY](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40cc9745-8f66-4cbf-8319-096c3d9d2e6d%2Fb4cebbcb-33ef-4333-a9a8-f30755d0c788%2F7uqb14b_processed.png&w=3840&q=75)
Transcribed Image Text:3.6. The random variable X takes the value of 5 with a probability of 0.30 and has a triangular
distribution in the range [0, 20] as shown in the following figure (Fig. 3.6).
a) What should be the value of the coefficient k so that X has a valid probability density
function? Write down the equation that specifies the probability distribution of X.
b) Find the mean, median and mode values of X.
c) Find the variance, standard deviation and coefficient of variation of X.
d) If it is known that X will not get a value greater than 15, what is the probability that X will
be greater than 12?
3-16
CE 589 (2021-22 Spring Semester)
0.3
fx(x)
Xx
0
5 10
20
20
Figure 3.6 Problem 3.6
MSY
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 2 steps with 7 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
