A random variable follows the continuous uniform distribution between 20 and 50 a) Calculate the probabilities...
A random variable follows the continuous uniform distribution between
20
and
50
a) Calculate the probabilities below for the distribution.
1)
P(x≤40)
2)
P(x=39)
b) What are the mean and standard deviation of this distribution?
Homework Answers
X ~ U (20 , 50)
a) 1) P(X < 40) = (40 - 20) / (50 - 20) = 2/3 or 0.67
2) P(X = 39) = 0
b) mean = (20 + 50) / 2 = 35
standard deviation = (50 - 20) / sqrt(12) = 8.66
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