Problem

(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 ). Explanation Check Watehlist ideas 02023 McGraw Hill LLC, All Rights Reserved. Terms of Use Privasy

Solution

Step 1 :The question asks for the area under the standard normal curve to the left of \(z=0.00\). The standard normal curve is a probability distribution with a mean of 0 and a standard deviation of 1. The area under the curve to the left of \(z=0.00\) represents the cumulative probability of a random variable from this distribution being less than or equal to 0.00.

Step 2 :Since the standard normal distribution is symmetric about the mean, the area to the left of \(z=0.00\) is 0.5 or 50%.

Step 3 :Final Answer: The area under the standard normal curve to the left of \(z=0.00\) is \(\boxed{0.5000}\).

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