Answer :
The standard deviation will be equal to 97.8%
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
A continuous probability distribution called a normal distribution has values distributed symmetrically, primarily in an area around the mean.
110 is 2 standard deviations above the mean (6+6 = 12)
12+98 = 110
Looking at the standard deviation curve.
P(x< or = to 110) = 1 - P(x>110)
We can find the probability that x is>100 by adding anything above 2 standard deviations above the curve.
P(x>110) = 2.1+.1 = 2.2%
P(x< or = to 110) = 1 - P(x>110)
P(x< or = to 110 = 1- 2.2%
P(x< or = to 110) = 1- .022
P(x< or = to 110) = .978 P(x< or = to 110)
P(x< or = to 110) = 97.8 %
Hence, the standard deviation for the normal distribution of mean 98 is 97.8%.
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