Materials: . Scientific Calculator I. Do as indicated. 1. The manager of a stockroom in a factory has constructed the following probability distribution for the daily demand (number of items used) for a particular tool. (2 items x 5 points) X P(x) 0 0.1 1 0.5 It costs the factory P10 each time the tool is used. 2 0.4 a. Find the mean and variance of the daily costs for the total usage of tools. b. Interpret the distribution based on its mean/ expected value. 2. During a day shift, the proportion of time, X, and the density function of a sheet-metal stamping machine being down for maintenance or repairs is given as follows: (2 items x 5 points) f(x)=(- 2 - 2x, 0 < x