Final answer:
To find the probability of an event given a specific condition, we can use conditional probability. In this case, the probability of x > 12 given x > 8 is equal to 1, since x > 12 must occur if x > 8 is already true.
Step-by-step explanation:
The question asks about finding the probability of an event, given a specific condition. To solve this, we can use the concept of conditional probability. In this case, we are given P(x > 12 | x > 8), which means finding the probability that x is greater than 12, given that x is already greater than 8.
To solve this, we need to find the intersection of the events x > 12 and x > 8, and then find the probability of x > 12 within that intersection. Since both x > 12 and x > 8 are overlapping events, their intersection is simply x > 12. So, P(x > 12 | x > 8) is equivalent to P(x > 12).
This means that the probability of x being greater than 12 in this scenario is equal to 1, since x > 12 must occur if x > 8 is already true.