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Hello people in Mapleprimes,


I want to do calculations about an expected value.

For example,


that is, \int_a^b c d \Omega


where, \Omega is a distribution function of c. 


But, I don't know whether this equation can be put into worksheet.

Is there no way other than writing this as 

\int_a^b c g(c) dc, 

where g shows a probability density function.


Can I use Statistics[ExpectedValue] to calculate expected value with a general distribution function, not specified 

to normal distribution?


I hope you will give me some hints.


Best wishes.




What is the probability that the total of two dice will be greater than 9, given that the first die is a 5?


Please I want to know how to solve this integration.


int(exp(-(ln(y)-2*sigma^2)^2/(8*sigma^2))/(y*sqrt(8*Pi*sigma^2))*exp(-(ln(y+z)-2*sigma^2)^2/(8*sigma^2))/((y+z)*sqrt(8*Pi*sigma^2)), y = 0 .. infinity)

How  can you create a loop for Monty Hall Problem when you have 3 door (1 opening) and then 4 Doors (with 2 openings and possible 2 switches)




I need help formulating a biased coin toss.


I want to toss a coin 0 being heads and 1 being tails with probabilty 0.495 of getting heads, how do I show whether heads or tails wins??




would you please help me how can i introduce a probability distribution function to maple in document mode?

I want to calculate integral of x f(x)dx, while I want maple to know f(x) is a probability distribution function.

I do not have any assumption about f(x)(for example normal or exponential distriburion)


In a pocket, we have 5 balls number from 1 to

Let X be the random variable uniformly distributed in the disk centered at the origin O(0,0) with radius 1 and let Y be the random variable uniformly distributed in the square having its vertices A(6,-1), B(9,-2), C(8,-5), and E(5,-4). What is the PDF of the distance between X and Y? Is it possible to find that with Maple? The similar question in three dimensions, replacing a square by a cube and a disk by a solid sphere.

I need to integrate the Student-T function which is a function of two variables (nu and t). Maple allows me to use this function through this command:



The integration of this function gives me the probability (p) of certain event (nu is already known):


If I provide the value of X I can compute the integral easily, now the problem appears when I want to...

I can define a discrete, finite universal set U, say the digits 1-5.


I can define a subset such as


Maple will compute the complement


but I cannot find any common textbook way of naming that complement that Maple will accept.  I cannot use a superscript c.  I cannot use a prime.  I cannot use an apostrophe.  I cannot use an overbar. Yes, I can type any of those using the various symbol...

probability girl?...

February 08 2013 marc005 3048 Maple

dicing-with-death-chance-risk-and-health (Stephen Senn)

Mr Brown has exactly two children. At least one of them is a boy. What is the probability
that the other is a girl?

What could be simpler than that? After all, the other child either is or is not a girl.
I regularly use this example on the statistics courses I give to life scientistsworking
in the pharmaceutical industry. They all agree that the probability is one-half.

So they are all...

I need more help with code please!

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orange, and 6 are green. If you select 9 pieces randomly without replacement, what is the probability that A_3 of the 9 are white, and B_3 of the 9 are white, 2 are tan 1 is pink and 1 is yellow and 2 are green

19 Whites in the pack / 52 hearts in the pack = .3654 possibility of picking a white from 1 draw.

I've tried using Maple Help within the Maple software, but it is not very user friendly. Nothing seems to match up when I type the commands that it tells me, I always get an error. How do I find the moment generating function from a probability density function (pdf)?



In the 20-29 age group , the heigts were normally ditributed with a mean 0f 64.3 inches and a standard deviation of 2.6 inches

find probability that her height is less than 56.5 inches.

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