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 = 1. (b) use this table or the aleks calculator to find the area under the standard normal curve to the left of z = 1.50. give your answer to four decimal places (for example, 0.1234). 0.9332

Explanation:

Step1: Understand standard - normal table

The standard - normal table gives the cumulative distribution function (CDF) values for the standard normal distribution $Z\sim N(0,1)$. The CDF $\varPhi(z)$ represents the area under the standard - normal curve to the left of $z$.

Step2: Look up the value

We are asked to find the area under the standard - normal curve to the left of $z = 1.50$. Using a standard - normal table or a calculator with a normal - distribution function (such as the ALEKS calculator), we find the value of $\varPhi(1.50)$.
From the standard - normal table or calculator, $\varPhi(1.50)=0.9332$.

Answer:

0.9332