answer the following. (a) the standard normal curve is graphed below. shade the region under the standard…

answer the following. (a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of z = 0.00. (b) use this table or the aleks calculator to find the area under the standard normal curve to the left of z = 0.00. give your answer to four decimal places (for example, 0.1234).

answer the following. (a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of z = 0.00. (b) use this table or the aleks calculator to find the area under the standard normal curve to the left of z = 0.00. give your answer to four decimal places (for example, 0.1234).

Answer

Explanation:

Step1: Recall standard - normal distribution properties

The standard - normal distribution has a mean of 0 and a standard deviation of 1. The cumulative - distribution function $\varPhi(z)$ gives the area under the standard - normal curve to the left of $z$.

Step2: Look up the value in the standard - normal table

For $z = 0.00$, looking up in the standard - normal table (or using a calculator with a normal - distribution function), we know that $\varPhi(0.00)=0.5000$.

Answer:

0.5000