Suppose x is a continuous random variable with the probability distribution shown below.
Q. 2
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What probability is represented
by the shaded area?
1. P(0 < x < 20)
2. P(20 < x < 50)
3. 1 - P(20 < x < 50)
4. P(x > 50)
5. none of these"
Q. 3A box contains four slips of paper marked 1, 2, 3, and 4. Two slips are selected without replacement. List the possible values for the following random variable.
x = number of slips marked 1
1.0, 1
2.0, 1, 2
3.2
4.0
5.1
Q. 4Which of the following random variables are continuous?
I). the air pressure in an automobile tire (in pounds per square inch)
II). the diameter of an automobile tire (in centimeters)
III). the number of miles traveled by an automobile tire
1.I only
2.I and III only
3.II and III only
4.I, II, and III
5.None of the variables is continuous
Q. 5Which of the following random variables are discrete?
I). the volume of a balloon in liters
II). the number of helium atoms in a balloon
II). the number of balloons at a birthday party
1.I only
2.II only
3.III only
4.II and III only
5.I, II, and III
Q. 6A continuity correction is used to convert a continuous random variable into a discrete random variable.
1.True
2.False
Q. 7All normal probability distributions have a similar shape regardless of the mean and standard deviation.
1.True
2.False
Q. 8The normal distribution has a continuous random variable.
1.True
2.False
Q. 9A normal probability plot suggests that a normal probability model is plausible if there is no obvious pattern in the scatter of points.
1.True
2.False