(a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left…

(a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of z = 0.00.\n(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).

(a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of z = 0.00.\n(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 table property

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

When $z = 0.00$, from the standard - normal table (or using a calculator with a normal - distribution function), the area to the left of $z=0.00$ is the probability $P(Z < 0.00)$. For a standard - normal distribution $Z\sim N(0,1)$, the value of $\varPhi(0.00)=0.5000$.

Answer:

$0.5000$