(b) Let the continuous random variable X has probability density function as follows, (k(x + 2)², -2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 21E
icon
Related questions
Question
(b)
Let the continuous random variable X has probability density function as follows,
(k(x + 2)²,
-2 < x < 0
f(x) = { 4k,
4
0<x <5
0,
otherwise
(i)
Find the value of constant k.
(ii)
Find the value P(-1<x< 1)
Transcribed Image Text:(b) Let the continuous random variable X has probability density function as follows, (k(x + 2)², -2 < x < 0 f(x) = { 4k, 4 0<x <5 0, otherwise (i) Find the value of constant k. (ii) Find the value P(-1<x< 1)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
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,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning