The random-number generator on calculators randomly generates a number between 0

Question

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 0.52 and 0.89? (c) What is the probability of generating a number greater than 0.91? (a) Choose the correct graph of the uniform density function below. ??. Density 1.2- 0.8 0.8 0 0.4 0.6 0.4- 0.4 0.2 0204 060.8 112 000.2 040608 1 12 (b) The probability is (Simplifty your answer) (c) The probability is (Simplify your answer.) 00.2040608 Click to select your answer(s).

Explanation / Answer

X ~ U (0 , 1)

a) Option-C) is the correct graph

b) P(0.52 < X < 0.89) = (0.89 - 0.52) / (1 - 0) = 0.37

c) P(X > 0.91) = (1 - 0.91) / (1 - 0) = 0.09

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