A fraud protection company raises an alarm on 5% of all transactions. If a transaction is fraudulent, there is an 80% chance the alarm will be raised. If 1% of all transactions are fraudulent, what is the probability the alarm is raised, and the transaction is fraudulent?

A newspaper sports reporter has a 58% accuracy for predicting the winners in NHL hockey games. A radio sports reporter has a 65% accuracy for predicting the winners. For a particular game, what is the probability that at least one of these reporters will make a correct prediction?

Suppose that you flipped a fair coin 200 times. (On any flip, “heads” and “tails” each occurs with 50% probability.)What is the probability that you will get fewer than 130 heads?

Suppose that historically, 35% of applicants that are offered admittance to Texas Tech actually enroll, while the others take offers somewhere else. If Texas Tech will accept 9000 this coming year, what is the probability that less than 34.1654% will actually enroll?

the sales manager knows that 10% of his clients do not pay their debts in full. He supposes that he selects a sample of 100 clients. What is the probability that 14% or more will not be fulfilled in their obligations?