Answer to Question #17135 in Abstract Algebra for Dan

Question

suppose 23% of the individuals in a population have a certain medical condition what is the probability 105 to 135 inclusive will have this in a population of 500

Answer 1

E(x) = 500 * 0.23 = 115 - the expected result.
P(105 <= x <= 135) = Φ((135 - 115) / 30) - Φ((105 -115) / 30) =
Φ(0.667) - Φ(-0.333) = 0.25 - 0.13 = 12%