Problem

Question 5, 5.1.6
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Part 3 of 6
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Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.
a. The number of pigeons in a country
b. The usual mode of transportation of people in City $A$
c. The distance a football travels in the air after being thrown
d. The time required to upload a file to the Internet
e. The number of people with blood type B in a random sample of 40 people
f. The number of hits to a website in a week
A. It is a discrete random variable.
B. It is a continuous random variable.
C. It is not a random variable.
b. Is the usual mode of transportation of people in City A a discrete random variable, continuous random variable, or not a random variable?
A. It is a continuous random variable.
B. It is a discrete random variable.
C. It is not a random variable.
c. Is the distance a football travels in the air after being thrown a discrete random variable, continuous random variable, or not a random variable?
A. It is a continuous random variable.
B. It is a discrete random variable.
C. It is not a random variable.

Answer

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Answer

The distance a football travels in the air after being thrown is a continuous random variable because it can take on any value within a certain range, depending on factors such as the force of the throw, the angle of the throw, and the wind speed and direction.

Steps

Step 1 :Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.

Step 2 :The usual mode of transportation of people in City A is not a random variable because it does not vary randomly but is determined by the infrastructure and culture of the city.

Step 3 :The distance a football travels in the air after being thrown is a continuous random variable because it can take on any value within a certain range, depending on factors such as the force of the throw, the angle of the throw, and the wind speed and direction.

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