The demand (in number of copies per day) for a city newspaper, x, has historically been 50,000, 70,000, 90,000, 110,000, or 130,000 with the respective probabilities .1, .25, .4, .2, and .05.
a. Graph the probability distribution of x.
b. Find the expected demand. Interpret this value, and label it on the graph of part a.
c. Using Chebyshev's Theorem, find the minimum percentage of all possible daily demand values that will fall in the interval [mx ± 2sx].
d. Calculate the interval [mx ± 2sx]. Illustrate this interval on the graph of part a. According to the probability distribution of demand x previously given, what percentage of all possible daily demand values fall in the interval [mx ± 2sx]?