If the data are normally distributed, and the mean is 100, and the standard deviation is 15, then what is the probability that one, random observation has a value of exactly 70?  

There is a 75% chance that a random company will meet its earnings expectations in a random quarter. If we take a random sample of 4 companies, what is the probability that exactly 3 of the companies meet their earnings expectations in that quarter? (round to the nearest %) (There are tables and special calculators that can “spit out” this answer directly, including in Excel and many graphing calculators…and you’re welcome to use those. But the “by hand” calculation is easy and discussed in our chapter.)

The probability that a randomly selected company will file a revised 10-k next year is 10%. If we take a random sample of 6 companies, what is the expected number of companies that will file a revised 10-k next year?

You roll one regular, fair, cubed die (with potential values 1, 2, 3, 4, 5, and 6). What is the value of your average (or “expected”) roll?

You roll one regular, fair, cubed die (with potential values 1, 2, 3, 4, 5, and 6). What is the most likely outcome for you to roll?

The length of time it takes a random company to release its post-quarter results is uniformly distributed from 16 days to 36 days. What is the probability that a randomly selected company releases its results between 29 and 34 days, post-quarter?

There is a 10% chance that you’ll win $5000. There is a 40% chance that you’ll win $100. There is a 50% chance that you’ll win $0. What is your EXPECTED (or AVERAGE) win?

The probability that a randomly selected company will file a revised 10-k next year is 10%. If we take a random sample of 6 companies, what is the standard deviation of the number of companies that will file a revised 10-k next year?

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