Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal judges for Memphis, Tennessee (taken from the Tennessee Court System website, www.tsc.state.tn.us), is given in the table. Assume that only Carolyn Blacken and Paula Skahan are women and the rest are men. If you were a criminal defense attorney in Memphis, you might be interested in whether the judge assigned to your case was a man or a woman. James C. Beasley Carolyn W. Blacken Lee V. Coffee Chris Craft John T. Fowlkes W. Otis Higgs James M. Lammey Paula L. Skahan W. Mark Ward Suppose the names are put into a pot, and a clerk pulls a name out at random. a. List the equally likely outcomes that could occur; last names are enough. b. Suppose the event of interest, event A, is that a judge is a woman. List the outcomes that make up event A. c. What is the probability that one case will be assigned to a female judge? d. List the outcomes that are in the complement of event A.
Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal judges for Memphis, Tennessee (taken from the Tennessee Court System website, www.tsc.state.tn.us), is given in the table. Assume that only Carolyn Blacken and Paula Skahan are women and the rest are men. If you were a criminal defense attorney in Memphis, you might be interested in whether the judge assigned to your case was a man or a woman. James C. Beasley Carolyn W. Blacken Lee V. Coffee Chris Craft John T. Fowlkes W. Otis Higgs James M. Lammey Paula L. Skahan W. Mark Ward Suppose the names are put into a pot, and a clerk pulls a name out at random. a. List the equally likely outcomes that could occur; last names are enough. b. Suppose the event of interest, event A, is that a judge is a woman. List the outcomes that make up event A. c. What is the probability that one case will be assigned to a female judge? d. List the outcomes that are in the complement of event A.
Solution Summary: The author states the equally likely outcomes in an experiment of assigning a criminal case to one of the 9 judges randomly.
Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal judges for Memphis, Tennessee (taken from the Tennessee Court System website, www.tsc.state.tn.us), is given in the table. Assume that only Carolyn Blacken and Paula Skahan are women and the rest are men. If you were a criminal defense attorney in Memphis, you might be interested in whether the judge assigned to your case was a man or a woman.
James C. Beasley
Carolyn W. Blacken
Lee V. Coffee
Chris Craft
John T. Fowlkes
W. Otis Higgs
James M. Lammey
Paula L. Skahan
W. Mark Ward
Suppose the names are put into a pot, and a clerk pulls a name out at random.
a. List the equally likely outcomes that could occur; last names are enough.
b. Suppose the event of interest, event A, is that a judge is a woman. List the outcomes that make
up event A.
c. What is the probability that one case will be assigned to a female judge?
d. List the outcomes that are in the complement of event A.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.
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: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; 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.
Problem 1.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%.
We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; 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.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…
Elementary Statistics: Picturing the World (7th Edition)
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