Find the indicated area under the standard normal curve.
To the left of $z=-0.64$
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The area to the left of $z=-0.64$ under the standard normal curve is (Round to four decimal places as needed.)

Step 1 ：The standard normal distribution is a special case of the normal distribution. It is the distribution that occurs when a normal random variable has a mean of zero and a standard deviation of one. The z-score is the number of standard deviations a given proportion is away from the mean. To find the area to the left of a certain z-score (which is the same as finding the probability that a value is less than that z-score), we can use the cumulative distribution function (CDF) for a standard normal distribution.

Step 2 ：Given that the z-score is $-0.64$, we can find the area to the left of this z-score under the standard normal curve.

Step 3 ：The area to the left of $z=-0.64$ under the standard normal curve is approximately $0.26108629969286157$.

Step 4 ：Rounding this to four decimal places, we get $0.2611$.

Step 5 ：Final Answer: The area to the left of $z=-0.64$ under the standard normal curve is $\boxed{{\displaystyle 0.2611}}$.