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 = 0.50. (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).

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).

Answer

Explanation:

Step1: Use standard - normal table

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

Step2: Look up the value

Looking up the value of $z = 0.50$ in the standard - normal table (the left - most column gives the integer and first decimal place of $z$, and the top - most row gives the second decimal place of $z$). For $z=0.50$, the value in the table is $0.6915$.

Answer:

$0.6915$