Q.6.53 - Elementary Statistics

Question

According to Table II, the area under the standard normal curve that lies to the left of $0.43$ is $0.6664$. Without further consulting Table II, determine the area under the standard normal curve that lies to the right of $0.43$. Explain your reasoning.

Step-by-Step Solution

Answer

The area under the standard normal curve to the right of $0.43$ is $0.3336$.

Step 1: Given Information

$0.6664$ is the area under the normal curve to the left of $0.43$.

Step 2: Explanation

The area under the standard normal curve to the right of $0.43$ can be determined using the following formula:

Area to the right of $0.43=1-$ Area to the left of $0.43$$=1-0.6664$

$=0.3336$

The histogram is shown below: