In Illinois about 56% of the days in a year are cloudy. Find the mean, variance and standard deviation for the number of cloudy days in June. Interpret the results and determine any unusual values.
2007-08-20 06:04:01 · 2 answers · asked by Creepmime 1 in Science & Mathematics ➔ Mathematics
The mean of the binomial distribution is np = 30(0.56) = 16.8. The mean can be a decimal fraction.
The variance of the binomial = np(1-p) = 7.39
The standard deviation of the binomial is √(np(1-p)) = 2.72
Without data, limits for unusual values would be June with 16.8 ± 3(2.72)
So, unusual values would be ≤ 9 or ≥25 cloudy days during June.
2007-08-20 06:34:49 · answer #1 · answered by cvandy2 6 · 0⤊ 0⤋
That's an awful lot of question for a dearth of data. The only result you can provide is that 17 days is the mean.
2007-08-20 06:12:37 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋