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S2 continuous uniform distribution

username1631419

I'm struggling on 1d, I know its one mark and should be easy but I just dont see how P(X=3) = 0

(edited 6 years ago)

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Reply 1

username1631419

Here is the question

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Reply 2

RDKGames

Study Forum Helper

Original post by Littleonezz

I'm struggling on 1d, I know its one mark and should be easy but I just dont see how P(X=3) = 0

It's a continuous random variable, the probability that it is EXACTLY 3cm is so small that its basically 0.

Remember,

P(X=3)=1-P(X<3)-P(X>3)

(edited 6 years ago)

Reply 3

username1631419

Original post by RDKGames

It's a continuous variable, the probability that it is EXACTLY 3cm is so small that its basically 0.

Is that the case for all values where P(X=x)?

Reply 4

the bear

the answer to d) is slightly surprising ?

remember that the probability of a≤X≤b is given by the area of the rectangle whose base is from a to b.

Reply 5

RDKGames

Study Forum Helper

Original post by Littleonezz

Is that the case for all values where P(X=x)?

Yes, look at my edit above.

Also you may notice that

P(X <3)=P(X\leq 3)

in a continuous distribution.

Reply 6

username1631419

Original post by RDKGames

Yes, look at my edit above.

Also you may notice that

P(X <3)=P(X\leq 3)

in a continuous distribution.

Thanks for your help

Reply 7

Ano9901whichone

Original post by RDKGames

It's a continuous random variable, the probability that it is EXACTLY 3cm is so small that its basically 0.

Remember,

P(X=3)=1-P(X<3)-P(X>3)

The probability is exactly 0 - not so small that it's basically 0.

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S2 continuous uniform distribution

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