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?
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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