Solution Found!
Consider the following probability distribution: a. Is x a
Chapter 4, Problem 41E(choose chapter or problem)
Consider the following probability distribution:
\(p(x)=\left(\begin{array}{l} 5 \\ x \end{array}\right)(.7)^{x}(.3)^{5-x} \quad(x=0,1,2, \ldots, 5)\)
a. Is x a discrete or a continuous random variable?
b. What is the name of this probability distribution?
c. Graph the probability distribution.
d. Find the mean and standard deviation of x.
e. Show the mean and the 2-standard-deviation interval on each side of the mean on the graph you drew in part c.
Questions & Answers
QUESTION:
Consider the following probability distribution:
\(p(x)=\left(\begin{array}{l} 5 \\ x \end{array}\right)(.7)^{x}(.3)^{5-x} \quad(x=0,1,2, \ldots, 5)\)
a. Is x a discrete or a continuous random variable?
b. What is the name of this probability distribution?
c. Graph the probability distribution.
d. Find the mean and standard deviation of x.
e. Show the mean and the 2-standard-deviation interval on each side of the mean on the graph you drew in part c.
ANSWER:Step 1 of 6
Let x be a random variable with probability distribution:
p(x) = () (0.7
(0.3
, x= 0,1,2…,5.
We have to find,
(a) The variable x is discrete or continuous.
(b) The probability distribution.
(c) We have to graph the probability distribution.
(d) The mean and standard deviation of x.
(e) We have to show that the mean and standard- deviation interval on each side of the mean on the graph.