Given a probability distribution, what is the probability that x is less than 8 or greater than 12, if P(x < 8) = 0.15 and P(x > 12) = 0.10?

Okay, let's find that probability using the data from Question 6: From the given probability distribution: * **P(x < 8)**: This means P(x = 6), which is 0.15. * **P(x > 12)**: This means P(x = 14), which is 0.10. The events "fewer than 8" and "more than 12" are mutually exclusive, so you can just add their probabilities: P(x < 8 or x > 12) = P(x < 8) + P(x > 12) = 0.15 + 0.10 = **0.25**