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