# Question: 1 suppose x is a random variable with mean ...

###### Question details

1. Suppose X is a random variable with mean μ and standard deviation σ. If a large number of trials is observed, at least what percentage of these values is expected to lie between μ − 3σ and μ + 3σ?

2. A basketball player has a 80% chance of making a free throw. (Assume that the throws are independent of each other.) What is the probability of her making 110 or more free throws in 120 trials? (Round your answer to four decimal places.)

3. The manager of Madison Finance Company has estimated that, because of a recession year, 4% of its 700 loan accounts will be delinquent. If the manager's estimate is correct, what is the probability that 37 or more of the accounts will be delinquent? (Round your answer to four decimal places.)