# Discrete or Continuous? II Identify the following as discrete or continuous random variables: a. Increase in length of life attained by a cancer patient as a result of surgery b. Tensile breaking strength (in pounds per square inch) of 1-inch-diameter steel cable c. Number of deer killed per year in a state wildlife preserve

Question
Random variables
Discrete or Continuous? II Identify the following as discrete or continuous random variables:
a. Increase in length of life attained by a cancer patient as a result of surgery
b. Tensile breaking strength (in pounds per square inch) of 1-inch-diameter steel cable
c. Number of deer killed per year in a state wildlife preserve

2020-12-01
(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.....}

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$$f(x,y)=f(x,y)=\begin{cases}cx^{2}e^{\frac{-y}{3}} \& 1 Determine the value of the constant c. asked 2021-06-03 Assume that X and Y are jointly continuous random variables with joint probability density function given by \(f(x,y)=\begin{cases}\frac{1}{36}(3x-xy+4y)\ if\ 0 < x < 2\ and\ 1 < y < 3\\0\ \ \ \ \ othrewise\end{cases}$$
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