This preview shows pages 1–3. Sign up to view the full content.
STAT/MA 416
August 29, 2011
Problem Set 4
Name:
1. Choosing a page at random.
A student buys a brand new calculus textbook that has 1000 pages, numbered from 1 to
1000, of course. She randomly opens the book to a page and starts to read! Assume that
any of the 1000 pages are equally likely to be chosen.
Let
B
be the event that
at least one
of the digits on the chosen page is a “5” (for example,
the page could be 572 or 505 or 355 or 115 etc., etc.). Let
C
be the event that
at least two
of the digits on the chosen page are “5” (for example, 355 or 575, etc.).
(a.) Given that
B
occurs, ﬁnd the conditional probability of
A
, the event that 555 is the
selected page.
(b.) Given that
C
occurs, ﬁnd the conditional probability of
A
, the event that 555 is the
selected page.
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document2. Socks.
A matching pair of blue socks, a matching pair of red socks, and one lone white
rightfooted sock are in a drawer.
Suppose that a person is looking for the two matching blue socks. He blindly pulls two
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '08
 Staff
 Probability

Click to edit the document details