- George throws a ball at a target 15 times.
Each time George throws the ball, the probability of the ball hitting the target is 0.48
The random variable \(X\) represents the number of times George hits the target in 15 throws.
- Find
- \(\mathrm { P } ( X = 3 )\)
- \(\mathrm { P } ( X \geqslant 5 )\)
George now throws the ball at the target 250 times.
- Use a normal approximation to calculate the probability that he will hit the target more than 110 times.