it is known that 10% of adults can pass a fitness test. what is the probability that at most 12 adults in a sample of 100 adults pass this fitness test ?

Answer 1

The probability that at most 12 adults in 100 pass the test is..

₁₀₀C₁(.1)¹(.9)⁹⁹ + ₁₀₀C₂(.1)²(.9)⁹⁸ + ............................... + ₁₀₀C₁₁(.1)¹¹(.9)⁸⁹ + ₁₀₀C₁₂(.1)¹²(.9)⁸⁸

_{The result of these calculations is .80182 which is the probability}