1.) The number of accidents that occur on a busy stretch of highway is a random variable.
a. What are the possible values of this random variable?
b. Are the values countable? Explain.
c. Is there a finite number of values? Explain.
d. Is the random variable discrete or continuous? Explain.
2.) The distance a car travels on a tank of gasoline is a random variable.
a. What are the possible values of this random variable?
b. Are the values countable? Explain.
c. Is there a finite number of values? Explain.
d. Is the random variable discrete or continuous? Explain.
3.) The amount of money students earn on their summer jobs is a random variable.
a. What are the possible values of this random variable?
b. Are the values countable? Explain.
c. Is there a finite number of values? Explain.
d. Is the random variable discrete or continuous? Explain.
4.) The mark on a statistics exam that consists of 100 multiple-choice questions is a random variable.
a. What are the possible values of this random variable?
b. Are the values countable? Explain.
c. Is there a finite number of values? Explain.
d. Is the random variable discrete or continuous? Explain.
5.) Refer to example 3.2. From the histogram for investment A, estimate the following probabilities.
a. P(X > 45)
b. P(10 < X < 40)
c. P(X < 25)
d. P(35 < X< 85)
6.) Refer to Example 3.2. Estimate the following from the histogram of the returns on investment B.
a. P(X > 45)
b. P(10 < X < 40)
c. P(X < 25)
d. P(35 < X< 85)
7.) A random variable is uniformly distributed between 5 and 25.
a. Draw the density function.
b. Find P(X >25)
c. Find P(10 < X <15)
d. Find P(5.0 < X >5.1)