MTH 1387 -- Exam2 -- Winter 1996

Instructions

OPEN BOOK EXAM. Put your name in the blanks above. Put your final answers to each
question in the designated spaces on these test pages. SHOW YOUR WORK. If there
is not enough room to show your work, use the back of the page. Show all calculator
answers to at least four significant digits.

Problem 1

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr1.gif]
a. Graph the pdf of X.

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr3.gif]

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr4.gif]

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr5.gif]
[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr6.gif]
b. Find the cdf of X.

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr7.gif]
[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr8.gif]
c. Graph the cdf of X.

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr9.gif]
[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr10.gif]
d. Compute:

P(X > 1)=

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr11.gif]
[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr12.gif]

P(1 < X < 3)=

[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr13.gif]
[Graphics:1387prob1gr2.gif][Graphics:1387prob1gr14.gif]