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 0.62 and 0.98? (c) What is the probability of generating a number greater than 0.87? (a) Choose the correct graph of the uniform density function below. OA. OB. Oc. ADensity 1.2- ADensity 1.2- A Density 1.2- 1- 0.8 0.6 0.4- 0.2- 1- 1- 0.8- 0.6- 0.4- 0.2- 0.8- 0.6- 0.4- 0.2- 0- O 0.2 0.4 0.6 0.8 i 0- O 0.2 0.4 0.6 0.8 i 12 1.2 o 0.2 0.4 o.6 0.8 i 12

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