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)

Hi,

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??

Thanks

Hello,

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 balls number from 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:

with(Statistics);

PDF(RandomVariable(StudentT(nu)),t);

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

p=Int(Student,t=-infinity..X)

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

I know this has to be an easy on, but I simply cannot figure out how to calculate the probability of a dice roll or a card pick. I want to calculate the probability of rolling four sixes in a row, or picking three kings in a pack of playing cards. I know how to to the math by hand, but I want maple to calculate it for me. I've tried google my problem, but with no useful results (they were all a lot more advanced then what I could figure out). I'm guessing it's because...

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

U:={1,2,3,4,5}

I can define a subset such as

X:={2,4}

Maple will compute the complement

U\X

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...

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)?

Thanks.

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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