The random-number generator on calculators randomly generates a number between 0
ID: 3069691 • Letter: T
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 83 and 0 96? (c) What is the probability of generating a number greater than 0 94? (a) Choose the correct graph of the uniform density function below O A. O B. . Density Density 0.4 02 0.4 0.2 0 4 0.20 40.608112 0 0 20 40.60.81 12 0 0.20 40 608112 (b) The probability s (Simplifty your answer) (c) The probability is(Simplity your answer)Explanation / Answer
a) Graph B is correct.
b) P(0.83 < X < 0.96) = (0.96 - 0.83) / (1 - 0) = 0.16
c) P(X > 0.94) = (1 - 0.94) / (1 - 0) = 0.06