Consider a random variable $X\sim N(5,3^2)$. Suppose you want to compute $P(X\le 4)$.

1. Press , select Probability > Distributions > Normal CDF, choose a huge negative value for lower (like $-{10}^{10}$), and upper: 4 (here $\mu =5$ and $\sigma =3$).

   

2. Press .

   The result should be $0.369$ (rounded).

Consider a random variable $X\sim N(5,3^2)$. Suppose you want to compute $P(X\ge 4)$.

1. Press , select Probability > Distributions > Normal CDF, choose a huge positive value for upper (like ${10}^{10}$), and lower: 4 (here $\mu =5$ and $\sigma =3$).

   

2. Press .

   The result should be $0.631$ (rounded).

Consider a random variable $X\sim N(5,3^2)$. Suppose you want to compute $P(-2\le X\le 6)$.

1. Press , select Probability > Distributions > Normal CDF, choose upper: 6, and lower: -2 (here $\mu =5$ and $\sigma =3$).

   

2. Press .

   The result should be $0.621$ (rounded).

Consider a random variable $X\sim N(5,3^2)$. Suppose you want to know for what $x$ we have $P(X\le x)=0.3$.

1. Press , select Probability > Distributions > Inverse Normal, choose Area: 0.3 (here $\mu =5$ and $\sigma =3$).

   

2. Press .

   The result should be $x=3.43$ (rounded).

Consider a random variable $X\sim N(5,3^2)$.

1. Create a new document and select Add Graphs.
2. Enter f1(x)=normPdf(x,5,3). Press .
3. Choose an appropriate window. Here, we chose the following:

   

4. The graph should look like this: