PROBABILITY AND STATISTICS FOR ENGINEER
PROBABILITY AND STATISTICS FOR ENGINEER
9th Edition
ISBN: 2818000048599
Author: WALPOLE
Publisher: PEARSON
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Chapter 15.3, Problem 2E
To determine

Find the effects that are significant using P-values.

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Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded.  27.3 34.6 30.6 27.8 33.4 31.5 ​ 27.3 31.2 32.0 24.7 24.4 28.2 ​ Test this sequence for randomness about the median. Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives BAABAABAABBB. Verify that the number of runs is 7, the lower critical number is 3, and the upper critical number is 11. Use a 5% level of significance. State the conclusion of the test and interpret your results.
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Please solving problem2 Problem1 We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market:ˆ A European call option with maturity T = 2 years and strike price K = 5;ˆ A European put option with maturity T = 2 years and strike price K = 5;ˆ An American call option with maturity T = 2 years and strike price K = 5;ˆ An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.
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