About 4% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. Make a three-stage
tree diagram of the outcomes allergic or not allergic) for the three individuals and use it to find the probability distribution of X.
Give your answers to six decimal places.