Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 14.2, Problem 12E
Consider a large population of families in which each family has exactly three children. If the genders of the three children in any family are independent of one another, the number of male children in a randomly selected family will have a binomial distribution based on three trials.
a. Suppose a random sample of 160 families yields the following results. Test the relevant hypotheses by proceeding as in Example 14.5.
| Number of Male Children | 0 | 1 | 2 | 3 |
| Frequency | 14 | 66 | 64 | 16 |
b. Suppose a random sample of families in a nonhuman population resulted in observed frequencies of 15, 20, 12, and 3, respectively. Would the chi-squared test be based on the same number of degrees of freedom as the test in part (a)? Explain.
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solving problem 1
select bmw stock. you can assume the price of the stock
This problem is based on the fundamental option pricing formula for the continuous-time
model developed in class, namely the value at time 0 of an option with maturity T and
payoff F is given by:
We consider the two options below:
Fo=
-rT
= e
Eq[F].
1
A. An option with which you must buy a share of stock at expiration T = 1 for strike
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B. An option with which you must buy a share of stock at expiration T = 1 for strike
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T
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T
St dt.
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Scholes model to price these options. Assume that the interest rate on the money market
is r.
(a) Using the fundamental option pricing formula, find the price of option A. (Hint:
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(b) Using the fundamental option pricing formula, find the price of option B.
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Chapter 14 Solutions
Probability and Statistics for Engineering and the Sciences
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