The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70 inches and a standard deviation of 10 inches. If X¯ represents the average amount of snowfall in 35 years, find k such that P(X¯

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The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70 inches and a standard deviation of 10 inches. If X¯ represents the average amount of snowfall in 35 years, find k such that P(X¯ <k) = 0.20. Round your answer to 3 decimal places.
Group of answer choices
68.577
78.416
70.791
71.423
61.584
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