Question

What does Pr(X=5 X>2) mean?

Answer 1

might it be written as
\[\large P(X=5|x>2)\]

Answer 2

yes

Answer 3

then it means the probability that \(X\) is 5, given that \(X>2\)

Answer 4

what if X<2?

Answer 5

there is not much chance that \(X\) could be equal to 5 if we already know it is less than 2, is there?

Answer 6

your right

Answer 7

Find the above if 2 (1/6) 3 (1/6) 4 (1/6) 5 (1/3) 6 (1/6)

Answer 8

that is what the question states

Answer 9

i can't say that make any sense to me

Answer 10

is it \(p(x=2)=\frac{1}{6}\) ?

Answer 11

ill write you the whole question

Answer 12

A fair die is altered so that the 1 is changed to a 5. if X is the random variable representing the number uppermost on the die, find:
a. the probability distribution of X
b. the probability of a number bigger than 2 appearing uppermost
c. Pr(X=5 X>2)

Answer 13

i knew how to find a. and b.

Answer 14

ok this makes more sense and is rather easy

Answer 15

it is like having 2, 3, 4, 5, 5, 6

Answer 16

the statement \(P(x=5|x>2)\) means we know \(x\) is greater than 2 before we start, so it cannot be 2 so now it is like having
3,4,5,5,6

Answer 17

probability you get a 5 is therefore \(\frac{2}{5}\)