1. Explain the meaning of a random variable, a discrete random variable, and a continuous random variable. Give one example each of a discrete random variable and a continuous random variable. 2. ...

1. Explain the meaning of a random variable, a discrete random variable, and a continuous
random variable. Give one example each of a discrete random variable and a continuous
random variable.
2. Classify each of the following random variables as discrete or continuous.
a. The time left on a parking meter
b. The number of bats broken by a major league baseball team in a season
c. The number of cars in a parking lot
d. The total pounds of fish caught on a fishing trip
e. The number of cars crossing a bridge on a given day
f. The time spent by a physician examining a patient
Ans:
1. Random variable, Discrete Random Variable, Continuous Random Variable.
A random variable is one whose possible values are numerical outcomes of any random experiment or
phenomenon. It is a variable that is subject to randomness and its values are unknown. It is a set of
different values which can be either labels (categories) or numerical (real) values.
For example, if you toss a coin once, the possibilities will be One Head (H) and One Tail (T) and if is
tossed twice, the values will be HH, HT, TH, TT.
The number of times or outcome of tossing (variable X) which is a set of values, is...