Questions with complete solution
2025/2026
you are required to use a TI-89 - correct answer ✔False
graph of F(x) = P(X <= x) when X is the face value for the throw of a fair die? - correct answer ✔x on x-
axis
F(x) on y-axis
open step function for graph
The entry in the Z table (CDF of a standard normal random variable) corresponding to a row label of 1.2
and a column label of .03 is - correct answer ✔P(Z <= 1.23) / phi(1.23)
If random variable X has a/an _______________ number of values in a finite interval of its range, X is
continuous. - correct answer ✔infinite
The CDF is the probability that a random variable, X, is _______________ to a specific number, x. -
correct answer ✔less than or equal to
on a graph of the standard normal variable f(z) is on the y-axis - correct answer ✔false, f(x)
******Let x (lowercase) denote a specific measured numerical value of a random variable. How do we
denote this random variable? That is, what is the notation of the random variable? - correct answer
✔P(X=x)
Open the text to section 3.6 and look at Example 3-16 Digital Channel. This example was part of your
reading assignment for the week.
, Which of the following is the correct definition of the random variable in this example? - correct answer
✔X is the random variable and it is the number of bits received in error out of the next four that are
transmitted.
******Suppose the pdf of X is given as f(x) = .25 for 3 < x < 8
How many numerical values can X be? - correct answer ✔5
******How many values can a Poisson random variable have? - correct answer ✔n
Let P(X=x) be the probability that a random variable equals a specific measured numerical value, x.
Let p(x) denote the probability mass function of that random variable, X.
Is this relationship True or False: P(X=x) = p(x) - correct answer ✔true
If Y is the face value for the throw of a fair die, then the equation ((b-a+1)^2 - 1)/12 is the
______________ of Y. - correct answer ✔variance
A normally distributed random variable that has a mean equal to 0 and a standard deviation equal to 1 is
called _____________ - correct answer ✔A standard Normal Random Variable, AKA Z
X is the face value for the throw of a fair die. What is the expected value of X? - correct answer ✔3.5
X is a continuous random variable of "int( f(x)dx ) from low x to general x" is - correct answer ✔the CDF
of x