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Is my answer right........?
Normal distribution question:
N(12.64, 2.18)
Find P[X>16]
Sub x=16 into z-score formula
z=x-μ /σ
z=16-12.64 / 2.18
z= 1.54 (round up to 1.55)
according to table of standard normal probabilities, cumulative p-value of 1.55 is 0.93943
1-0.93943 = 0.06057
Therefore, proportion above x=16 is 0.06057?
1 Answer
- 1 decade agoFavorite Answer
You should have taken square root of 2.18 when standardizing X ~ N(μ,σ^2) into Z ~ N(0,1).
Apart from that looks fine. So, yeah, just change one number, that change will obviously influence other results, however the overall working is correct :)
