(a) The area to the left of $Z=0.15$ is
(Round to four decimal places as needed.)

Answer

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Answer

$\boxed{0.5596}$ is the final answer.

Steps

Step 1 ：The area to the left of a Z-score in a standard normal distribution represents the cumulative probability up to that Z-score. We can calculate this using the cumulative distribution function (CDF).

Step 2 ：Given a Z-score of 0.15, we can calculate the area to the left of this Z-score.

Step 3 ：Using the CDF, we find that the area to the left of Z=0.15 is approximately 0.5596176923702425.

Step 4 ：Rounding this to four decimal places, we get 0.5596.

Step 5 ：$\boxed{0.5596}$ is the final answer.

(a) The area to the left of $Z=0.15$ is(Round to four decimal places as needed.)

Answer

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(a) The area to the left of $Z=0.15$ is
(Round to four decimal places as needed.)