(a) Find the area under the standard normal curve to the left of $z=2.45$. The area to the left of $z=2.45$ is
Answer
Final Answer: The area under the standard normal curve to the left of $z=2.45$ is approximately \(\boxed{0.9929}\).
Step 1 ：We are asked to find the area under the standard normal curve to the left of $z=2.45$.
Step 2 ：The area under the standard normal curve to the left of a given z-score is the cumulative probability up to that z-score.
Step 3 ：Using the cumulative distribution function (CDF) for the standard normal distribution, we find that the area to the left of $z=2.45$ is approximately 0.9928571892647285.
Step 4 ：Rounding to four decimal places, we get 0.9929.
Step 5 ：Final Answer: The area under the standard normal curve to the left of $z=2.45$ is approximately \(\boxed{0.9929}\).
