Solution

 a. Increase in length of life attained by cancer patient as a result of surgery is a continuous random variable that takes positive real number as value.

b. Tensile breaking strength of 1-inch-diameter steel cable is a continuous random variable that takes positive real number as value.

c. Number of deer killed per year in a state wildlife preserve is a discrete random variable that can take value from $\{ 0, 1, 2 \dots\}.$

d. Number of overdue accounts in a department store at a particular time is a discrete random variable that can take value from $\{ 0, 1, 2 \dots\}.$

e. My blood pressure is a continuous random variable.

Answer

Discrete random variables: c, d

Continuous random variables: a, b, e