Question
Let X is a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be f(x) = 0.01 for 0 ≤ X ≤ 100. The mean of X is __________.
Options :
2.5
5.0
25.0
50.0
Answer :
50.0
Solution :
Given probability density function of X
f(x) = 0.01 for 0 ≤ X ≤ 100
The mean or expectation of a continuous random variable is given by
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