I have a small data sample of some occurrence in time.  For an example lets take the time it takes kids to finish their lunch to determine wether a school has given them enough time for recess.

The times are (20,15,12,18,15,13,13,10,14,14,15,17,8,22,16) in minutes.

What distribution should I use? 

Should I just calculate the mean and std. dev. from the data and generate a normal distribution, like below?
with(Statistics):
a:=[20,15,12,18,15,13,13,10,14,14,15,17,8,22,16]:
m:=Mean(a):
d:=StandardDeviation(a):
X:=RandomVariable(Normal(m,d)):

Sample(X,3) # generate a few samples

I could also randomly choose from the observed 15 data points. 

combinat[randcomb](a,3) # randomly pick 3 of data points

Which method would be better?  Is randcomb following any kind of distribution? 

Hi there,

I've been asked to do the following and now I'm struggling to do part (c) (Part (a) and (b) are irrelevant!)

code for part(c): Qmaple.mw

So I want to animate the system of differential equations when a=1,and b as the parameter varying from 0.5 to 3,also 0<=x<=5,0<=y<=5;while t could be any arbitrary range from 0 to,say,50.However, I am not sure where to include b in my code.

Thanks in advance

Good day everyone,

I am having challenges copying equations from Maple 2016 to word. Anyone with useful information should share please.

Thank you in anticipation for your kind gesture

Hi there,

I was asked to solve this problem:

and ending up with this:

Qmaple.mw

In Solut,if I replace evalf by solve I get a sensible solution.However,it is explicitly written in the question that I should use evalf to get an exact answer.How should I modify my code?

The link below is to a worksheet giving the output of the sinc(0).  There is some contradictory results.  I know sinc(x)=sin(x)/x.  If x is very small then sinc(x)-->1.0 for either +-x.  However, for x = 0 is the function actually undefined or = 0 or = 1.0?  Check the link.  If you have an explanation I would like to be enlightened.

sinc(0).mw

I am trying to plot what seems like a simple particle trajectory along the y-axis. How would I plot a function that is just moving in a constant line along the y-axis in 3d?

Dear all!

Hope everyone is fine with everything! I want to simplify the following expression

diff(u(y, t), t) = (A^2/nu)^(1/3)*nu*(diff(u(y, t), y, y))/(A/nu^2)^(2/3)-(A^2/nu)^(1/3)*sigma*B^2*u(y, t)/rho+(A^2/nu)^(1/3)*g*beta*q2[w]*sqrt(nu^2/A)*T(y, t)/((nu*A)^(1/3)*k)+(A^2/nu)^(1/3)*g*beta*T[infinity]/(nu*A)^(1/3)-(A^2/nu)^(1/3)*g*beta*V[infinity]/(nu*A)^(1/3)+(A^2/nu)^(1/3)*g*beta1*C(y, t)/(nu*A)^(1/3)-(A^2/nu)^(1/3)*g*beta1*C[infinity]/(nu*A)^(1/3)

I above the red terms need to simplify i.e., we can add the power of A, nu etc. But maple can't do that please fix my problem. For more detail I attach my maple file.

simplify.mw

I am trying to plot matrix in maple, and from the help i believe i need to use matrix plot. 

I am trying to do something like; 

matrixplot(Matrix(2,2,{x^2,y^2,x*y,y},[x,y]);

for example. Is there a way to do this? Just like plotting a graph without specifying the range of x and y. 

thanks

In the uploaded worksheet, using "solve" takes too long to evaluate and won't answer, while "fsolve" will only simply rewrite the equation. What am I missing?
 1-parasitic.mw

Dearz!!!

Hope you all are fine. I am stuck to find the integration in the attachment. Please see that put your valuable suggestion to fix my problem. Thanks in advance

Dear all!

Hope everything going fine. I want to transfrom the derivative diff(u, y) into diff(U, Y) as disscussed in attached file. Please see the attachment and fix the problem. Thanks in advance

Transform.mw

This may be a very elementary question, but my searches on the topic have been unsuccessful, so I have to ask here. I've plotted a function using plot3d, and I want to find the exact value of the two variables for which the function equals a certain value. How can I find this point on the plot in the easiest way?
As an example, I have 

And I want to find the points for which abs(zIT)-50=0. zIT is a function of L & C defined previously.

How can i find the smallest n such that

using maple 2015?

I've tried using the solve command however this doesnt return a numerical value, any help would be great :)

Is there a way in Maple to evaluate the following integral - where the "w" are set to go to zero to avoid singularities? B.t.w. Maple just returns the integral unevaluated with or without the "w" with the simple "int" command. 

int(ln(((p1-p3)^2+w^2)/(p1+p3)^(w^2+2))*ln(((p1-p4)^2+w^2)/((p1+p4)^2+w^2))*sin(p1)/(p1*p3*p4), p1 = 0 .. infinity);

or even

int(ln(((p1-p3)^2+w^2)/(p1+p3)^(w^2+2))*ln(((p1-p4)^2+w^2)/((p1+p4)^2+w^2))*sin(p1)/(p1*p3*p4), p1 = 0 .. 100, numeric);

Not sure what is going on, but I confirmed the result is incorrect via MATLAB.  Can anyone tell me what MAPLE is doing?  Evaluation of the 1st expression is correct, but the 2nd expression = 0 is incorrect.  The correct answer should be 1.862645149230957e-08.

discrepancy.mw