Solution Manual for Statistical Distribution and Binomial Models
What is a discrete probability distribution? - Answers lists each possible value a random variable can
assume, together with its probability
What are the two conditions that determine a probability distribution? - Answers The probability of each
value of the discrete random variable is between 0 and 1, inclusive, and the sum of all the probabilities is
1.
What is the significance of the mean of a probability distribution? - Answers It is the expected value of a
discrete random variable.
T/F
In most applications, continuous random variables represent counted data, while discrete random
variables represent measured data. - Answers False. In most applications, discrete random variables
represent counted data, while continuous random variables represent measured data.
T/F
The mean of a random variable represents the "theoretical average" of a probability experiment and
sometimes is not a possible outcome. - Answers True
Decide whether the graph represents a discrete random variable or a continuous random variable.
The length of time students use a computer each week - Answers Continuous, because the length of
time is a random variable that is uncountable.
Determine whether the random variable is discrete or continuous.
a. The weight of a T-bone steak.
b. The number of fish caught during a fishing tournament.
c. The number of bald eagles in the country
d. The number of light bulbs that burn out in the next week in a room with 18 bulbs.
e. The time it takes to fly from City A to City B. - Answers a.) continuous
b.) discrete
c.) discrete
d.) discrete
e.) continuous
Decide whether the random variable x is discrete or continuous.
What is a discrete probability distribution? - Answers lists each possible value a random variable can
assume, together with its probability
What are the two conditions that determine a probability distribution? - Answers The probability of each
value of the discrete random variable is between 0 and 1, inclusive, and the sum of all the probabilities is
1.
What is the significance of the mean of a probability distribution? - Answers It is the expected value of a
discrete random variable.
T/F
In most applications, continuous random variables represent counted data, while discrete random
variables represent measured data. - Answers False. In most applications, discrete random variables
represent counted data, while continuous random variables represent measured data.
T/F
The mean of a random variable represents the "theoretical average" of a probability experiment and
sometimes is not a possible outcome. - Answers True
Decide whether the graph represents a discrete random variable or a continuous random variable.
The length of time students use a computer each week - Answers Continuous, because the length of
time is a random variable that is uncountable.
Determine whether the random variable is discrete or continuous.
a. The weight of a T-bone steak.
b. The number of fish caught during a fishing tournament.
c. The number of bald eagles in the country
d. The number of light bulbs that burn out in the next week in a room with 18 bulbs.
e. The time it takes to fly from City A to City B. - Answers a.) continuous
b.) discrete
c.) discrete
d.) discrete
e.) continuous
Decide whether the random variable x is discrete or continuous.
