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Lightning strikes: The number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. (These values are typical of much of the United States.) The National Lightning Detection Network uses automatic sensors to watch for lightning in a sample of 10 randomly chosen square kilometers.
The mean of X with bar on top, the mean number of strikes per square kilometer, is ______?______. (report without decimal)
The standard deviation of X with bar on top, the mean number of strikes per square kilometer, is _____?_______. (report with 4 decimals)
Find the probability that the average number of lightning strikes per square kilometer per year for 10 randomly chosen square kilometers is 3.6 or less.
P(X with bar on top ≤ 3.6) = P(Z ≤ _____?_____) = ________?________. (Round the 1st number to 2 decimals and the 2nd number to 4 decimals)
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