(c) The area to the left of $Z=-1.74$ is $\square$.
(Round to four decimal places as needed.)

Answer

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Answer

So, the area to the left of $Z=-1.74$ is $\boxed{0.0409}$.

Steps

Step 1 ：Given a Z score of -1.74 in a standard normal distribution, we need to find the area to the left of this Z score.

Step 2 ：The area to the left of a Z score in a standard normal distribution represents the cumulative probability up to that Z score.

Step 3 ：Using the cumulative distribution function (CDF) for a standard normal distribution, we can calculate this area.

Step 4 ：The CDF of -1.74 is approximately 0.040929508978807365.

Step 5 ：Rounding to four decimal places, we get 0.0409.

Step 6 ：So, the area to the left of $Z=-1.74$ is $\boxed{0.0409}$.