calculate the probability of tomorrow's climate

Hello, I have to solve the following through MatLab

Tomorrow's temperature is normally distributed with μ=7°C und σ=2°C.

Calculate the probability of the following:

1. tomorrow will be exactly 5 °C
2. tomorrow will be warmer than 2°C
3. tomorrow will be warer than 2°C but/and not colder than 5°C

I've only gotten so far:

mu=7;

sigma=2;

which is the same as getting nowhere. I'm assuming I should use the normpdf function but I'm confused on how to set the x values and whether to use the same function for 2 and 3.

Answer 1

[James Tursa]

The normal distrubion is a continuous distribution. To answer questions like "probability of temp greater than" or "less than" or "between" you need to look at the cumulative distribution function:

https://www.mathworks.com/help/stats/normcdf.html

There is an interval example in that link that should help you. The answers to all three questions can be obtained with this function (although the answer to 1 is trivial if you think about it).