We know that based on the Binomial distribution, probability ofx successes in n trials when the probability of success is (p) canbe calculated by multiplying Combinations of n items x by x,multiplied by the probability of success (p) raised to (x) andmultiplied by (1-p) raised to (n-x).
1. If probability of having a child who will study business incollege (probability of success) is 0.25, what is the probabilityof a family with 6 children will have 3 of them study business incollege
2. If probability of catching a cold is 0.03, what is theprobability of 3 people out of six catching a cold?
3. If probability of catching a cold is 0.97, what is theprobability of 3 people out of six catching a cold?