Z-score practice help?:)

Question

0

762

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+125

The height of a sunflower is normally distributed with a mean of 14.2 feet and a standard deviation of 2.15

what is the probability of picking a sunflower that has a height greater than 16.4 feet?

Please show all work (how you found z score and final answer)

Nuggetguy Mar 28, 2019

CPhill · Answer 1 · 2019-03-28T05:22:15

z score = [ 16.4 - 14.2 ] / [ 2.15 ] ≈ 1.02

From the z score table this value equates to ≈ .8461 ≈ 84.61%

So...the probability of picking a sunflower > 16.4 ft = 1 - .8461 ≈ 15.39%