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1. Stock prices. For the 300 trading days from January 11, 2012 to March 22, 2013, the daily closing price of IBM stock (in $) is well modeled by a Normal model with mean $197.92 and standard deviation $7.16. According to this model, what is the probability that on a randomly selected day in this period the stock price closed

a. above $205.08

b. below $212.24

c. between $183.60 and $205.08

d. Which would be more unusual, a day on which the stock price closed above $206 or below $180

2. Stock prices, again. According to the model in Exercise 26, what cutoff value of price would separate the

a. lowest 16% of the days

b. highest 0.15%

c. middle 68%

d. highest 50%

Operation Management, Management Studies

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