SUMATH 203
RECITATION 5- PROBLEMS
SUMMER 2014/15
Problem 1. Let X be a discrete random variable. We know that E(X) = 1/4 and E(X 2 ) = 1/2.
(a) Find E(2X + 1) and E([X + 1]2 ).
(b) Let f (x) be the pr
RECITATION 4- PROBLEMS
SUMATH 203
SUMMER 2014/15
Problem 1. Toss a coin 3 times and let X be the number of Heads observed. Find
(a) The range of X (b) The p.d.f of X (c) P(X = 2) (d) P(X < 2).
Problem
SUMATH 203
RECITATION 3- PROBLEMS
SUMMER 2014/15
Problem 1. Suppose you pick a card at random from a well shued deck. What is the probability that
it is an Ace given that it is a Diamond?
Problem 2. T
RECITATION 2- PROBLEMS
SUMATH 203
SUMMER 2014/15
Problem 1. (a) How many dierent 7-place license plates are possible if the rst 2 places are for letters
and the other 5 for numbers?
(b) Repeat part (a
RECITATION 1- PROBLEMS
SUMATH 203
SUMMER 2014/15
Problem 1. Two dice are thrown. Let E be the event that the sum of the dice is odd; let F be the event
that at least one of the dice lands on 1; and le
Ch. 2: Section 1 and 2: Introduction and Sample Spaces.
In the rst subsection the concept of a random experiment by means of examples is introduced. The
exposition is somewhat more elaborate than that
Ch. 3, Section 1: Random Variables
In Ch. 2 we considered probability spaces I A sample space , I A set of events F, consisting of subsets
of I A probability measure assigned to each event.
Denition (
Ch. 4, Section 1: Mathematical Expectation E(X)
A lot of 12 television sets includes 2 with white cords. If 3 of the sets are chosen at random for
shipment to a hotel, how many sets with white cords c
Exam III, Spring 2016-17
May 10, 2017, 19:40 - 21:40
Name:
Student Number:
READ ALL THE ITEMS BELOW CAREFULLY BEFORE YOUR
START THE EXAM
All unauthorized materials (textbooks, notes, electronic devic
Exam II, Spring 2016-17
April 14, 2017, 19:40 - 21:40
Name:
Student Number:
READ ALL THE ITEMS BELOW CAREFULLY BEFORE YOUR
START THE EXAM
All unauthorized materials (textbooks, notes, electronic devi
Exam I, Spring 2016-17
March 10, 2017, 19:40 - 21:40
Name:
Student Number:
READ ALL THE ITEMS BELOW BEFORE YOUR START THE
EXAM
All unauthorized materials (textbooks, notes, electronic devices, bags,