Ask question

# 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 # 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 asked 2020-11-30
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

## Answers (1) 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.....}

### Relevant Questions asked 2021-02-12
Discrete or Continuous? Identify the following as discrete or continuous random variables:
a. Total number of points scored in a football game
b. Shelf life of a particular drug
c. Height of the ocean's tide at a given location
d. Length of a 2-year-old black bass
e. Number of aircraft near-collisions in a year asked 2021-05-12
Suppose that $$X_{1}, X_{2} and X_{3}$$ are three independent random variables with the same distribution as X.
What is the ecpected value of the sum $$X_{1}+X_{2}+X_{3}$$? The product $$X_{1}X_{2}X_{3}$$?
Suppose a discrete random variable X assumes the value $$\frac{3}{2}$$ with probability 0.5 and assumes the value $$\frac{1}{2}$$ with probability 0.5. asked 2021-06-06
Let X and Y be independent, continuous random variables with the same maginal probability density function, defined as
$$f_{X}(t)=f_{Y}(t)=\begin{cases}\frac{2}{t^{2}},\ t>2\\0,\ otherwise \end{cases}$$
(a)What is the joint probability density function f(x,y)?
(b)Find the probability density of W=XY. Hind: Determine the cdf of Z. asked 2021-02-19
Discrete or Continuous? II Identify the following as discrete or continuous random variables:
a.Number of overdue accounts in a department store at a particular time
b.Your blood pressure asked 2021-05-05
Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two components. The joint density of X and Y is
$$f(x,y)=ye^{-y(1+x)}, x,y>0$$
Give the marginal density functions for both random variables. Are the independent? asked 2021-05-13
Let the continuous random variables X and Y have joint pdf $$f(x,y)=e^{-x-y}, 0 a)\(e^{-y}$$
b)$$e^{-x}$$
c)$$\frac{e^{y}}{e^{-x}}$$ asked 2021-05-01
Let X and Y be jointly continuous random variables wth joint PDF is given by:
$$f_{X,Y}(x,y)=2$$ where $$0 \leq y \leq x \leq 1$$
Show the marginal PDF of X and Y. asked 2021-05-19
The joint density function of two continuous random variables X and Y is:
$$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}$$
Find the marginal density functions for X and Y . asked 2021-05-23
Assume that X and Y are jointly continuous random variables with joint probability density function given by
$$f(x,y)=\begin{cases}\frac{1}{36}(3x-xy+4y)\ if\ 0 < x < 2\ and\ 1 < y < 3\\0\ \ \ \ \ othrewise\end{cases}$$
Find Cov(X,Y).
...