Question

A psychology class conducter an experiment. In this experiment 15 children were asked to solve a puzzle independently in a fixed amount of time. The xlass is interested indetermining the number of children who will succeed in solving the puzzle. Under the assumption that the probabiltiy of completing the task isnlow as 0.1 for each child, determine the the probabilities of exactly 2 of the 15 children will solve the puzzle

Answer 1

$P(X=2)=C_{15}^2*(0.1)^2*(1-0.1)^{13}=0.2669.$