Determine whether each of the following random variables is discrete or continuous.
a. The number of heads in 100 tosses of a coin.
b. The length of a rod randomly chosen from a day's production.
c. The final exam score of a randomly chosen student from last semester's engineering statistics class.
d. The age of a randomly chosen Colorado School of Mines student.
e. The age that a randomly chosen Colorado School of Mines student will be on his or her next birthday.
Answer
Step 1 of 6</p>
Discrete random variable means which can be measurable by positive integers
Example X=0,1,2,3
Continuous random variable means which can take any value between the given range
Example X=4.2 in the range (4,6)
Step 2 of 6</p>
a) The no. of heads in 100 tosses of coins is representing the positive integers 0,1,2,........100
So the no. of heads in 100 tosses of coins is discrete random variable
Step 3 of 6</p>
b) The length of the rod from a day's production value will be in the given interval
So, The length of the rod from a day's production is Continuous random variable
