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The change in stock prices for a certain stock are evenly distributed over the interval [a, b]. a) Assuming that the probability that the change

The change in stock prices for a certain stock are evenly distributed over the interval [a, b].

a) Assuming that the probability that the change in stock price is less than $3 is equal to 5/8 and the average change in stock price is $2, find the values of a and b.

b) What is the probability that the stock price changes more than $5?

c) What is the standard deviation of the change in stock prices?

d) Determine the 30th percentile for the change in stock prices and interpret its meaning.

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