Question
Find the probability using the normal distribution:
. Use 0 The Standard Normal Distribution Table and enter the answer to 4 decimal places.
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
-
Recognize that the probability can be written aswhere
represents the cumulative distribution function (CDF) of the standard normal distribution. -
From the standard normal table, find the values:
-
Compute the probability:
Therefore,
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Extra Insights
To find
, we can use the standard normal distribution table (Z-table). First, we look up the value of
. From the Z-table, we find that
is approximately 0.9713.
Since
is 0.5 (the area to the left of z=0), we can calculate:
Thus, the final answer is: