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add 7.1 and finished 7.2

Michi authored on11/06/2012 19:37:32
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+Michael Klauser Exercise 7.1
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+We suppose 7 blue and pink balls, each of them uniquely so that we can distinguish them. 
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+We only need to calculate how often we get k successes in n trials
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+We can now draw n! samples of balls.
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+This sample can contain the same balls but different ordered.
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+Because, we have n choices for the first n-1 for the second and so on.
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+General  n!
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+
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+but now we only want to distinguish between blue and pink balls
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+for k blue balls, we again have k! possibilities to bring them in order
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+similarly, for the remaining n-k balls. So we have (n-k)! possibilities.
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+Now we only count the number of blue and pink balls. (we don't care about the order)
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+
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+ Now we can divide the overall-number of possibilities n! by the number of possibilities for the blue balls k! and by the number of possibilities for pink  balls (n-k)!. We remember that  all events are statistically independent, this yields:
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+
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+ binomial coefficient = n! / (k! (n-k)!)
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@@ -195,7 +195,7 @@ err_lin_m = err_lin_m[1]
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-# The integration via fit is computationally expensive compared to the simple numerical integration 
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+# The integration via fit (spinefun) is computationally expensive compared to the simple numerical integration by summing up. 
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 strqua = paste("quadratic: ax^2 + mx +b with a=",round(best_a_qua,2),"+-",round(err_qua_a,2),",\n m=", round(best_m_qua,2),"+-",round(err_qua_m,2),", b=",round(best_b_qua,2),"+-",round(err_qua_b,2))
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@@ -206,7 +206,7 @@ text(0,2.8,strqua)
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 text(0,2.1,strlin)
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 text(0,1.6,strcon)
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-#Plot errorbars quad
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+#Plot errorbars quad. Here i'm not sure how to plot the error bars so I plot them like done below. An explanation about how to plot error bar in the tutorial would be nice.
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 for( x in (x_vec_2)){
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 tmperrup = quarel(x,best_a_qua,best_m_qua,best_b_qua) + (err_qua_a*x**2+x*err_qua_m+err_qua_b)