The Student Room Group
Reply 1
lgs98jonee
If you have a continuous uniform distribution with range of 1-2
wot is P(X=1.5)???

is it 0?

also when u say u r using this model do u say X ~ U (1,2)??


I dont think you represent the distribution like that, i think it's just f(x) = 1/(b-a) [beta minus alpha]

I'm not so sure on the first question...
lgs98jonee
If you have a continuous uniform distribution with range of 1-2
wot is P(X=1.5)???

is it 0?

also when u say u r using this model do u say X ~ U (1,2)??



Draw a rectangle and label the bottom corners 1 and 2. The whole area of the rectangle is equal to so the base is 1. So the height must be 1 aswell. The area of the shaded regionis the probaility in this case its

0.5 x1 so the probability is 0.5

Its eaier to explain if you draw the diagram.
Reply 3
Well probability of all values of x will be the same between alpha and beta wont they?
Naomi
Well probability of all values of x will be the same between alpha and beta wont they?


How do you mean?
Reply 5
lgs98jonee
If you have a continuous uniform distribution with range of 1-2 wot is P(X=1.5)???

It's zero. Proof: For all k with 0 < k < 1 we have

0 <= P(X = 1.5) <= P(1.5 - k/2 < X < 1.5 + k/2) = k.
lgs98jonee
also when u say u r using this model do u say X ~ U (1,2)??

Yes.
Reply 6
Jonny W
It's zero. Proof: For all k with 0 < k < 0.5 we have

0 <= P(X = 1.5) <= P(1.5 - k/2 < X < 1.5 + k/2) = k.

Yes.

tx was pretty sure about those...others didnt seem to have a clue

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