12:07 PM Mon Oct 24 3. Say one flips an unfair coin 10 times where the probability of heads is 0.65. (a) Find the probability that exactly no heads come up. (b) Find the probability that exactly 7 heads come up. (c) Find the probability that at least 3 heads come up. 1/2 (d) What is the expected (average) amount of heads? 41% 12:07 PM Mon Oct 24 Stat 1 Binomial Distribution 41% Fall 2022 Instructions: Work together in groups. Combination Formula/Binomial Coefficient The number of combinations, where order does not matter, of x things with n choices without replacement, denoted nCx or (r) is n! nCx = (r) = xl (n = x)! Definition: Binomial Probability Distribution The probability of obtaining a successes in n independent trails of a binomial experiment with probability p to succeed in each trail is P(x) = (~) p (1 - p)" -= n! = x!(n x)!(1 p)nx 1. Find the amount of combinations that are possible. (a) A pick 2 from McDonald's where there are 5 items to choose from. (b) A line of up of 5 basketball players from a bench of 20.