1. A random sample of n=100 observations is selected from a population with =29 and =23. Approximate the probabilities shown below.
2. a. P(x28)

b. P(22.1 x26.8)

c. P(x28.2)

d. P(x 27.0)

(Round to three decimal places as needed.)

2. Financial analysts who make forecasts of stock prices are categorized as either "buy-side" analysts or "sell-side" analysts. The mean and standard deviation of the forecast errors for both types of analysts are shown in the table to the right. Assume that the distribution of forecast errors are approximately normally distributed.

a. a. Find the probability that a buy-side analyst has a forecast error of + 2.00

or higher.

b. Find the probability that a sell-side analyst has a forecast error of + 2.00

or higher.

Buy-Side Analysts Sell-Side Analysts

Mean 0.83 -0.8

SD 1.93 0.85