Chapter 4.3, Problem 4.41LM

Consider the following probability distribution:

     $p(x)=\left(\begin{array}{c}5\\ x\end{array}\right){(.7)}^x{(.3)}^{5-x}$ (x = 0, 1, 2, ... , 5)

1. a. Is x a discrete or a continuous random variable?
2. b. What is the name of this probability distribution?
3. c. Graph the probability distribution.
4. d. Find the mean and standard deviation of x.
5. e. Show the mean and the 2-standard-deviation interval on each side of the mean on the graph you drew in part c.