probability - execution of an operation

Hello, my task is to calculate the probability:

The temperature in a certain city is modeled as a random variable T ∼ N (10◦, (10◦) 2). What is the probability that the temperature at a random time will not exceed 15?

If I counted it "mathematically on a piece of paper", I would calculate it like this, but can I do it faster and more efficiently in matlab?

Thank you in advance for your help!!!

[darova]

I dont' understand the formula. Cam you explain?

[Thomas Kozinski]

I must based on a random variable: T ~ N (10, (10)^2).

Calculate the probability that a given "temperature - result" will not exceed 15 at some random moment.

And I don't really know how to go about it, use some function for probability? Maybe you have any idea?

Answer 1

[Paul]

If T has a normal distribution, then

doc normcdf

can be used to find the probability P(T < t)

[Thomas Kozinski]

Hi, Paul! Thanks for the answer.

However, I have a problem, how can I use normpdf in my practical case, I read the documentation and I don't really see the solution.

[Paul]

normcdf, not normpdf. If normcdf doesn't apply to your problem, then I don't understand the problem.

I thought the problem is: T is a random variable with a normal distirbution with parmeters mu = 10, sigma^2 = 100. Find the probability P(T < 15).

[Thomas Kozinski]

sorry for the mistake, it's actually normcdf

I think you understood the content correctly.

So to solve this I can run a command like this: normcdf (x, mu, sigma) x = P (T <15).

normcdf (15,10,100)

[Paul]

Yes, except that based on your qeustion and subsequent comment sigma = 10, so it should be:

>> normcdf(15,10,10)

ans =

   0.691462461274013

as shown in your original question.