Question

Finding Probabilities in Uniform Distributions The probability density of a random variable X is given in...

Finding Probabilities in Uniform Distributions The probability density of a random variable X is given in the figure below. The random variable is uniformly distributed between 0 and 2.

From this density, find the probability that X is between 0.54 and 1.2.

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Answer #1

Solution :

Given that,

a = 0

b = 2

P(c < x < d) = (d - c) / (b - a)

P(0.54 < x < 1.2) = (1.2 - 0.54) / (2 - 0)=0.33

probability=0.33

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