# Let X be a continuous RV with a probability density function (PDF) fX(x) = cx2

Mar 16th, 2015
Sigchi4life
Category:
Statistics
Price: \$10 USD

Question description

Let X be a continuous RV with a probability density function (PDF)

fX(x) = cx2  for 0 < x < 3

= 0  otherwise

where c is a constant.

a) Find the constant c.

b) Find the probability that X takes on a value between 1 and 2 i.e., P(1 < X < 2) using the PDF.

c) What is the probability that X is equal to 1.5?

d) Find the CDF for the random variable X.

e) Use the CDF to calculate P(1 < X < 2).

(Top Tutor) Daniel C.
(997)
School: New York University

Studypool has helped 1,244,100 students

## Review from our student for this Answer

Sigchi4life
Mar 16th, 2015
"Goes above and beyond expectations !"

1824 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors