Answer: 116.2 (choice B)
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Step-by-step explanation:
We need to find a value of k such that P(X > k) = 0.14
This is equivalent to P(X < k) = 0.86 since 1 - 0.14 = 0.86
Use the invNorm function on a TI84 calculator or similar to input invNorm(0.86,100,15). The result is approximately 116.205 which rounds to 116.2
If you do not have a TI84 or similar, then you can input invNorm(0.86,100,15) into WolframAlpha. It is a free online calculator that can do many tasks beyond a basic calculator. There are many other online calculators that are similar.