The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.26 and 0.96? (c) What is the probability of generating a number greater than 0.82? (a) Choose the correct graph of the uniform density function below. O A. A Density 1.2 1- 0.8- 0.6- 0.4- 0.2 E 0+ 0 0.2 0.4 0.6 0.8 1 1.2 OB. ADensity (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.) C. A Density 1.2- 1.2- 1- 1- 0.8- 0.8- 0.6- 0.6- 0.4- 0.4 0.2 G 0.2 x o+ 0+ 0 0.2 0.4 0.6 0.8 1 1.2 0 0.2 0.4 0.6 0.8 1 1.2