an insurance company reported that 55% of all automobile damage claims were made by people under age 25. If six automobile damage claims were selected at random, determine the probility that exactly four of them were made by someone under ager 25.

Answer 1

prob(under 25) = .55
prob(over 25) = .45

prob (exactly 4 of 6 are under 25)
= C(6,4) (.55)^4 (.45)^2
= .27795