5. Every time a certain type of rocket is launched there is a 12.4% chance it will be damaged. If 500 of these rockets are launched, what is the probability that at least 45 are damaged? Use the...

5. Every time a certain type of rocket is launched there is a 12.4% chance it will be damaged. If 500 of these rockets are launched, what is the probability that at least 45 are damaged?

Use the appropriate continuous distribution to approximate the probability.