2. When Kara throws a dart at a dartboard, X, the distance, in centimeters, between the impact point of the dart and O, the center of the dartboard, is a continuous random variable with probability density function

If the bull’s eye of the dartboard is a circle of diameter 6 centimeters centered at O, and the probability of hitting the bull’s eye in one throw is independent of hitting it in other throws, what is the probability that Kara misses the bull’s eye in exactly 7 of her next 10 throws?

3 x(10-x) 0 < x