Mathematics desk | ||
---|---|---|
< August 30 | << Jul | August | Sep >> | September 1 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Given
and
and
is it possible to find ?
115.178.29.142 (
talk) 01:20, 31 August 2010 (UTC)
You have a hypothesis that you wish to test. Based on your current knowledge, you evaluate the probability that the hypothesis is true as 50%. You can choose to perform one of three experiments. You have already previously evaluated the expected probability that the hypothesis is true after performing the experiment. For experiment 1, this is 30%. For experiment 2, 60%, and experiment 3, 90%. Which experiment is expected to best perform in getting the most accurate reading for the truth/falsity of the hypothesis?-- Alphador ( talk) 07:13, 31 August 2010 (UTC)
The law of total probability says:
Michael Hardy ( talk) 23:04, 1 September 2010 (UTC)
I am finding myself trying to explain to well educated people on this subject, but are not Maths. / Accountancy perhaps. I have been trying to explain that a rate of rent per calandar month is a payment of twelve per year and so is to 12 * 4 = 48 weeks. A rate per year is to 52 weeks. Yet a Company is trying to fit one into soft-ware that does not fit. Am I wrong? MacOfJesus ( talk) 11:13, 31 August 2010 (UTC)
Thank you. I was being over-simplistic, for now I have (The un-enviable task) of telling Bosses this! MacOfJesus ( talk) 17:00, 31 August 2010 (UTC)
You have estimates and exact values. there are 365.2422 days in a year, we arbitrary divide it into 12 months, giving approximately 30 days to a month, the exact value being 365.2422/12. So a given month gives approximately 4.2 weeks or 365.2422/7. A real world example of approximations is tax rates. if you tax rate is 10% what is the tax on USD 1.01? and where does the 10% of USD$0.01 go? To answer your question, you are wrong. Your calculation for weeks should be 4.2 ( You need to increase your accuracy to give you balances to the nearest cent, which means at least a few more digits of accuracy. There is approximately 52.17745 weeks in a year, or approximately 4.348 weeks in a month, and exactly 7 days in a week. Let me rephraise your question if you please: " I have been trying to explain that a rate of rent per calendar month ( is the rate that would give you 12 payments over 365.2422 days or one sidereal year ) is a payment of twelve per year ( exactly by definition ) and so is to 12 ( exactly ) * 4 ( 4.333... ) = 48 ( 52 exactly ) weeks. A rate per year is to 52 ( approximatly ) weeks. ( 52.17745 exactly )
Blame it on the earth, not revolving exactly 360 days. It will someday as it slows, but until then we have to approximate. ( and btw, that extra 5.2422 days is not silly to a USD$120,000 month rent ) —Preceding unsigned comment added by 69.232.209.57 ( talk) 20:21, 2 September 2010 (UTC)
Initially:
a(1) = 1
a(2) = 2
...
a(n) = n
Then:
for i = 1 to n
r = random number between 1 and n (inclusive)
swap the values of a(i) and a(r)
next
Question: will this produce a uniformly random permutation of 1,2..n in a() (i.e. all permutations equally likely)? If not, is there a simple tweak that will fix it so it does? —Preceding unsigned comment added by 86.173.36.196 ( talk) 14:01, 31 August 2010 (UTC)
Let and k be any positive integers. Prove that if and only if . The hint attached to the problem in the book says, let . I started with the hint, and saw that (n-1) divides always. Now I cant think of anything else to do. I feel the hint was supposed to send me in another direction. Can someone help please. Thanks - Shahab ( talk) 15:35, 31 August 2010 (UTC)
Mathematics desk | ||
---|---|---|
< August 30 | << Jul | August | Sep >> | September 1 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Given
and
and
is it possible to find ?
115.178.29.142 (
talk) 01:20, 31 August 2010 (UTC)
You have a hypothesis that you wish to test. Based on your current knowledge, you evaluate the probability that the hypothesis is true as 50%. You can choose to perform one of three experiments. You have already previously evaluated the expected probability that the hypothesis is true after performing the experiment. For experiment 1, this is 30%. For experiment 2, 60%, and experiment 3, 90%. Which experiment is expected to best perform in getting the most accurate reading for the truth/falsity of the hypothesis?-- Alphador ( talk) 07:13, 31 August 2010 (UTC)
The law of total probability says:
Michael Hardy ( talk) 23:04, 1 September 2010 (UTC)
I am finding myself trying to explain to well educated people on this subject, but are not Maths. / Accountancy perhaps. I have been trying to explain that a rate of rent per calandar month is a payment of twelve per year and so is to 12 * 4 = 48 weeks. A rate per year is to 52 weeks. Yet a Company is trying to fit one into soft-ware that does not fit. Am I wrong? MacOfJesus ( talk) 11:13, 31 August 2010 (UTC)
Thank you. I was being over-simplistic, for now I have (The un-enviable task) of telling Bosses this! MacOfJesus ( talk) 17:00, 31 August 2010 (UTC)
You have estimates and exact values. there are 365.2422 days in a year, we arbitrary divide it into 12 months, giving approximately 30 days to a month, the exact value being 365.2422/12. So a given month gives approximately 4.2 weeks or 365.2422/7. A real world example of approximations is tax rates. if you tax rate is 10% what is the tax on USD 1.01? and where does the 10% of USD$0.01 go? To answer your question, you are wrong. Your calculation for weeks should be 4.2 ( You need to increase your accuracy to give you balances to the nearest cent, which means at least a few more digits of accuracy. There is approximately 52.17745 weeks in a year, or approximately 4.348 weeks in a month, and exactly 7 days in a week. Let me rephraise your question if you please: " I have been trying to explain that a rate of rent per calendar month ( is the rate that would give you 12 payments over 365.2422 days or one sidereal year ) is a payment of twelve per year ( exactly by definition ) and so is to 12 ( exactly ) * 4 ( 4.333... ) = 48 ( 52 exactly ) weeks. A rate per year is to 52 ( approximatly ) weeks. ( 52.17745 exactly )
Blame it on the earth, not revolving exactly 360 days. It will someday as it slows, but until then we have to approximate. ( and btw, that extra 5.2422 days is not silly to a USD$120,000 month rent ) —Preceding unsigned comment added by 69.232.209.57 ( talk) 20:21, 2 September 2010 (UTC)
Initially:
a(1) = 1
a(2) = 2
...
a(n) = n
Then:
for i = 1 to n
r = random number between 1 and n (inclusive)
swap the values of a(i) and a(r)
next
Question: will this produce a uniformly random permutation of 1,2..n in a() (i.e. all permutations equally likely)? If not, is there a simple tweak that will fix it so it does? —Preceding unsigned comment added by 86.173.36.196 ( talk) 14:01, 31 August 2010 (UTC)
Let and k be any positive integers. Prove that if and only if . The hint attached to the problem in the book says, let . I started with the hint, and saw that (n-1) divides always. Now I cant think of anything else to do. I feel the hint was supposed to send me in another direction. Can someone help please. Thanks - Shahab ( talk) 15:35, 31 August 2010 (UTC)