Home > Statistics > One-sample Hypothesis Test for p

What is the value of a? P(X≥a)=0.5

Answer 1

#a=3#

This question essentially means what is the value of #a# such that half of the values lie above it?

Normally you would use integrals and a probability function to solve this but this graph is clearly symmetrical with 3 in the middle. You can see that half of the area is between 0 and 3 and the other half is between 3 and 6. Thus #a=3#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Dominic Amato

The value of ( a ) corresponds to the ( a )th percentile of the distribution of random variable ( X ), such that the probability of ( X ) being greater than or equal to ( a ) is 0.5.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.