A weighted coin has a 0.486 probability of landing on heads and a 0.514 probability of landing on tails. If you toss the coin 27 times, we want to know the probability of getting heads exactly 11 times. Consider a toss of heads as success in the binomial distribution.

To avoid unpleasant surprises when the statement comes, you try to record all your credit card transactions in a ledger. Unfortunately, you tend to neglect recording about 5% of your purchases. Suppose that last month, you had 25 purchases on your credit card account. When the statement arrives, you count the number of purchases you forgot to record. The random variable X represents the number of unrecorded purchases in a month with 25 transactions. Find the probability that you would record all 25 purchases. 2.98 .2774 1.25 .3526