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Assume that you have a continuous random variable which is uniformly distributed in the range: [3,8]...

Assume that you have a continuous random variable which is uniformly distributed in the range: [3,8] . What is the probability that the random variable takes on a value less than or equal to 7?

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Answer #1

Probability density function of a uniform distribution with range [a,b]

= 0 otherwise

Let 'X' be random variable;

X is uniformly distributed in the range: [3,8]

Probability density function of X

= 0 otherwise

Probability that the random variable takes on a value less than or equal to 7 i.e = P(X7)

P(X7) = 0.8

Probability that the random variable takes on a value less than or equal to 7 = 0.8

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