Question

Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x>2.5 | x ≤ 4).

Answer 1

x follows a continuous uniform distribution from 1 to 5 .
therefore , Px) = 1/(5 - 1) = 1/4

Now, according to question , we have to determine probability in 2.5 < x ≤ 4
see the attachment, here shaded region shows the probability of given conditions .
So, P(2.5>x|x≥4)=$\bold{\int\limits^4_{2.5}{P(x)}\,dx}}$
=$\bold{\int\limits^4_{2.5}{\frac{1}{4}}\,dx}}=\bold{\frac{4-2.5}{4}}=0.375$

Hence, answer is 0.375

Answer 2

Answer:

tep-by-step explanation: