The random-oumber generator on calculators randomly generates a number between0

Question

The random-oumber generator on calculators randomly generates a number between0 and 1. The random varlable X, the number generated, follows a uniorm (a) Identify the graph of the unilorm denoity function (b) What is the probability of gonerating a number between 0.19 and 0 57 (c) What is the probability of generading a mamber greater than 0 812 (a) Choose the conrect graph of the uniom denaily function below O A. 2 04 0608 1 12 2 04 0688 1 13 0204 868 1 12 b)The probabily isSimplly your answer (c) The probablity is(Simplity your answer ) Click to select your answerts)

Explanation / Answer

X ~ U(0, 1)

A) Option-B) is the correct graph

B) P(0.19 < X < 0.57) = (0.57 - 0.19) / (1 - 0) = 0.38

C) P(X > 0.81) = (1 - 0.81) / (1 - 0) = 0.19

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