machine is set to dispense 7 ounces , it in fact dispenses an amount x at random anywhere between 6.5 and 7.5 ounces inclusive. Suppose x has a uniform probability distribution. a) Is the amount dispensed by the beverage machine discrete or continuous random variable? Explain. b) Graph the frequency function for x, the amount of beverage the manager believes is dispensed by the machine when it is set to dispense 7 ounces. c) Find the mean and standard deviation for the distribution graphed in part b and locate the mean and the interval u + 20 on the graph. d) Find P(x 2 7)