Find the indicated probability and interpret the result.

From 1975 through​ 2020, the mean annual gain of the Dow Jones Industrial Average was 651.

A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 500 and 800​? Assume sigmaequals1541.
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Part 1
The probability is

enter your response here.
​(Round to four decimal places as​ needed.)
Part 2
Interpret the result. Select the correct choice and fill in the answer box to complete your choice.
​(Round to two decimal places as​ needed.)
A.
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enter your response here​% of samples of 46 years will have an annual mean gain between 500 and 800.
B.
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enter your response here​% of samples of 34 years will have an annual mean gain between 500 and 800.
C.
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enter your response here​% of samples of 34 years will have an annual mean gain between 651 and 800.
D.
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enter your response here​% of samples of 34 years will have an annual mean gain between 500 and 651.