(a)Given:

Increase in length of life attained by a cancer patient as a result of surgery.

Calculation:

Increase in length of life attained by a cancer patient as a result of surgeryis a continuous random variable that can take positive real number as value.

(b)Given:

Tensile breaking strength (in pounds per square inch) of L-inch diameter steel cable.

Calculation:

Tensile breaking strength (in pounds per square inch) of 1-inch diameter steel cable is a continuous random variable that can positive real number as value.

(c)Given:

Number of deer killed per year in a state wildlife preserver.

Calculation:

Number of deer killed per year in a state wildlife preserveris a discrete random variable that can take value from {0,1,2.....}

Increase in length of life attained by a cancer patient as a result of surgery.

Calculation:

Increase in length of life attained by a cancer patient as a result of surgeryis a continuous random variable that can take positive real number as value.

(b)Given:

Tensile breaking strength (in pounds per square inch) of L-inch diameter steel cable.

Calculation:

Tensile breaking strength (in pounds per square inch) of 1-inch diameter steel cable is a continuous random variable that can positive real number as value.

(c)Given:

Number of deer killed per year in a state wildlife preserver.

Calculation:

Number of deer killed per year in a state wildlife preserveris a discrete random variable that can take value from {0,1,2.....}