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Problem: Plain old Monty Hall (a) Make sure you understand why it is always better to switch in the Monty Hall problem described in class. Think about the problem from different angles. Keep it active in your mind for some time. (b) Here's a convincing argument in favor of switching. We can simulate the game. 1. c ← 0 (this counts the number of wins) 2. n ← 0 (this counts the number of trials) 3. place the prize uniformly at random in one of the boxes, call this box x 4. choose a box uniformly at random, call this box y 5. decide that you will not switch no matter what (the simulation of the remainder of the game becomes irrelevant) 6. if x = y then c ← c + 1 7. n ← n + 1 8. print c/n 9. goto 3 It should be obvious that c/n will converge to 1/3 (why?), which is the prob- ability of winning if we adopt a no switch strategy. The simulation works the same way regardless of the actions taken by the host. Did we just prove that there is always a benefit in switching? (something to think about) Assume that Monty Hall does not know where the prize is. He will simply open one of the remaining boxes at random with equal probability. Consider the case where an empty box is revealed. Show that there is no benefit in switching. (d) How can we resolve the inconsistency between (b) and (c)?
Write down the regression equation and state the R-squared value and the standard error and explain what they mean with respect to the data.
A business man must travel to five different destinations
Determine if there is a difference in gas prices between Ontario and Quebec.
Explain briefly why Hite's sampling method is nearly certain to produce a strong bias. Are the sample results cited (91% and 70%) much higher or much lower than the truth for the population of all American women?
Construct the product structure tree for the coffee table and all of the items required to construct the table - complete the MRP for the coffee table and all of the items required to construct the table.
q1.a soda producer makes and sells two products classic cola and diet cola. if this company spends x1 dollars on
What is the average rating for all CBC movies? How about ABN movies and BBS movies and create a line graph of the monthly average ratings for CBC for the year
what is the point estimate for the mean hospital cost for victims who wore seat belts and construct and interpret 99percent conf interval estimate for the mean hospital costs for accident victims who wore seatbelts.
The population mean is within $50.00 of the sample mean?
a. Display these results in a table that best shows the association between cannibalism and the number of sneaking males. Identify the type of table you used.
Find a peer-reviewed journal article that employs the Pearson's correlation coefficient
question 1 a gantt chart represents mainlyanswer an immediate identification of predecessor task. a record-keeping
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