Answer Happy

5. Which one of the following charts represents a probability distribution (3 points): a) b) c) d) X P(x) 0 0.1 1 0.2 2 0.4 3 0.1 X 0 1 2 3 X P(x) 00 10 21 3 0 4 6. A small start up tech company has 4 customer service telephone lines. Let xdenote the number of phone lines in use at any given time. Suppose that the probability distribution of x is as follows: (10 points) P(x) 0.10 0.16 a X P(x) 0 -0.1 0.31 0.22 10.1 20.4 3 0.6 X P(x) 0 0.3 1 0.2 2 0.1 3 b.) Calculate and interpret the expected value of x. 0.35 a.) Determine the value of a if the data above represent a discrete probability distribution. c.) Calculate the standard deviation of x.