Question

decimal. I variable. Find P(X<0). Express your answer as a 0.5 Question 2 1 pts Let X be a standard normal random variable. Find PIX <-2.27). Express your answer as a decimal. Question 3 1 pts Let X be a standard normal random variable. Find PX 2.82), Express your answer as a

Answer 1

Solution:

Probability = 0.0116

Explanation:

$P(X\leq -2.27)=P\begin{pmatrix} \frac{X-0}{1}\leq \frac{-2.27-0}{1} \end{pmatrix}$

$P(X\leq -2.27)=P\begin{pmatrix} Z\leq-2.27 \end{pmatrix}$

$P(X\leq -2.27)=P\begin{pmatrix} Z\leq-2.27 \end{pmatrix}=0.0116$

By using Standard Normal Table

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