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Answer
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P(x>2.5) = 0.00621

↓Steps Explained:↓

Given X = 10.5, μ = 10, and σ = 1.2

Calculate P(X > Z)

Z-score formula

Using the Normal Distribution, Calculate P(X > 10.5)

Z  =  X - μ
  σ/√36

Z  =  10.5 - 10
  1.2/√36

Z  =  0.5
  1.2/6

Z  =  0.5
  0.2

Z = 2.5

From the table below, we see that our Z value is = 0.49379

Z-table Lookup Value

The z-table probability runs from 0 to z and -z to 0

Z value = 0.49379

Since that represents ½ of the graph, we subtract our value from 0.5 → 0.5 - 0.49379

P(x>2.5) = 0.00621

Final Answer

P(x>2.5) = 0.00621
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