Question

answer the following. (a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of z = -0.50. (b) use this table or the aleks calculator to find the area under the standard normal curve to the left of z = -0.50. give your answer to four decimal places (for example, 0.1234).

Explanation:

Step1: Use standard - normal table

The standard - normal table gives the cumulative distribution function $\varPhi(z)$ of the standard normal distribution $N(0,1)$. We want to find $P(Z < - 0.50)$.

Step2: Look up value in table

Looking up $z=-0.50$ in the standard - normal table (the table gives $P(Z < z)$ for $z$ values), we find that the value corresponding to $z = - 0.50$ is $0.3085$.

Answer:

$0.3085$