Suppose X follows a uniform distribution between 100 and 200. Calculate each of the following probabilities...

Question

Question

Suppose X follows a uniform distribution between 100 and 200. Calculate each of the following probabilities below. (5 points)

What is the probability that X will fall between 120 and 177?

What is the probability that X will be above 140?

What is the probability that X will be below 193?

What is the probability that X will be more than 25 units away from the midpoint?

Answer 1

Answer #1

X follow uniform distribution (a, b)

Then pdf(x) =1/(b-a), x lies between a to b

Mid point = (a+b) /2

Solution file is attached go through it

Thanks

Answer 2

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