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