Suppose a household is chosen at random and the random variable
x is the number of cars they own. The probability distribution of
x is as follows:
What is the expected value of
x, the average number of televisions per household?
a.0.25
b.2
c.1.95
d.2.5
Q. 2Suppose Y = the number of years that a person has worked for one company from a randomly selected person in the work force. Given the following values of the cumulative distribution function (CDF), what is the 
?
CDF: FY(2) = 0.05, FY(4) = 0.15, FY(6) = 0.45, FY(8) = 0.60, FY(10) = 0.75, FY(12) = 0.95
a.
b.
c.
d.
= F(10) - F(2) = 0.75 - 0.05 = 0.70
Q. 3 What is the value for
FX(3.5) using the probability distribution given below?
a.
FX(3.5) = 0.35
b.
FX(3.5) = 0.45
c.
FX(3.5) = 0 since
x = 3.5 is not a possible value.
d.
FX(3.5) = 0.55
Q. 4 Using the probability distribution given below, what is the value for
PY(2)?
a.
PY(2) = 2
b.
PY(2) = 0.60
c.
PY(2) = 0.40
d.
PY(2) = 0.20
Q. 5
Which of the following is not true for a discrete probability distribution?
a.
b.
PY(5) =
P(
Y=5)
c.
P(
Y=
a or Y=
b) =
PY(
a)
PY(
b)
d.
Q. 6
In order to understand the relationship between two categorical variables, which of the following would not be helpful?
a.Stacked bar chart
b.Box plots
c.Two-way frequency table
d.100 stacked bar chart
Q. 7 Suppose a plant that produces dye wants to test the process. Four samples are randomly selected from the production process and each analyzed for its color intensity. The data are collected over a ten-day period. Assume the population of color intensity is normally distributed with a mean of 5 and a standard deviation of 1.1. What would be the upper control limit for a
chart of this study?
a.6.65
b.8.3
c.6.04
d.8.63
Q. 8
Which chart is used to monitor the central tendency of a process?
a.
R chart
b.bar chart
c.
p chart
d. chart
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