ECE 3530 PRACTICE MIDTERM 1 SOLUTIONS
1. There is a deck of 15 cards numbered 1 through 15.
(a) If you draw 5 cards from the deck without replacement, what is the
probability that your hand will contain the cards 10 and 13?
Notice that whether these cards
ECE 3530 PRACTICE FINAL 2 Solutions
1. A random sample with size n=200 is taken from a population with a known standard
deviation = 0.56. The sample has the following quantile and normal-quantile plots:
Quantile Plot
Normal-Quantile Plot
Based on this inf
ECE 3530 PRACTICE MIDTERM 2 SOLUTIONS
1. A continuous random variable X has the probability density function:
0,
x<1
hx h, 1 x 2
f (x) =
3h hx, 2 x 3
0,
x>3
which can be graphed as
(a) Find h which makes f (x) a valid probability density function.
The a
NAME:
ECE 3530 MIDTERM 2
Show your work.
Four questions each worth 25 points.
Closed book, limited notes (2 regular size sheets front&back). No laptops.
1. (a) Let X be the outcome of rolling a fair six-sided dice. The possible outcomes for X
are 1,2,3,4,
NAME:
ECE 3530 MIDTERM 1
Show your work.
Four questions each worth 25 points.
Closed book, limited notes (1 regular size sheet front&back). No laptops.
1. (a) User IDs on an old computer system consist one letter from the English alphabet
followed by a si
Example 8.3 Quantile plot
Example 8.3 Normal Quantile plot
N ( = 7, = 2) Quantile plot
N ( = 7, = 2) Normal Quantile plot
Uniform dist 0 to 1 Quantile plot
Uniform dist Normal Quantile plot
The rst row of gures correspond to the data given in Example 8.3
The areas under the red curves are the values for the marginal distribution g(x) evaluated
at x=-1, x=0 and x=1
If we draw the red curves at each value of x, and for each compute the area underneath, we
get the marginal distribution g(x) which we can then
ECE 3530 PRACTICE FINAL 2. Show your work.
1. A random sample with size n=200 is taken from a population with a known standard
deviation = 0.56. The sample has the following quantile and normal-quantile plots:
Quantile Plot
Normal-Quantile Plot
Based on t
NAME:
ECE 3530 PRACTICE MIDTERM 2
Show your work.
Closed book, limited notes (1 regular size sheet front&back). No laptops.
1. A continuous random variable X has the probability density function
0,
x<1
hx h, 1 x 2
f (x) =
3h hx, 2 x 3
0,
x>3
which can be
NAME:
ECE 3530 PRACTICE MIDTERM
Show your work.
Closed book, limited notes (1 regular size sheet front&back). No laptops.
1. There is a deck of 15 cards numbered 1 through 15.
(a) If you draw 5 cards from the deck without replacement, what is the probabil