SOLUTION: Let X1, X2, X3 be a random sample from the uniform distribution on the open interval (0, 1). What is the probability that the sample median is less than the value 0.4?

SOLUTION: Let X1, X2, X3 be a random sample from the uniform distribution on the open interval (0, 1). What is the probability that the sample median is less than the value 0.4?

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Question 1164709: Let X1, X2, X3 be a random sample from the uniform distribution on the open
interval (0, 1). What is the probability that the sample median is less than the value 0.4?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
For the sample median to be <0.4, two of the three values have to be less than 0.4
This is now a binomial probability problem with 3C2*0.4^2*0.6=0.288
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