If a person bought 1 share of Google stock within the last year

If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed with $50 of the mean for that year? (between 50 below and 50 above the mean.
I would first have to add 50 to the mean and subtract 50 from the mean to figure out the two values needed to calculate the z-scores.
59.30 + 50.00= 109.30                 109.3-59.3/32.9 = 1.5
59.30 – 50.00 = 9.30                       9.30-59.3/32.9= -1.5
The area to the left is .0668 and the area to the right is .9332. Then you would subtract .0668 from .9332. (.9332-.0668) = .8664. The probability that stock is within $50 of the mean is .8664 or 87%.

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