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?

0.153

Step-by-step explanation:

Chjmk

In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.

What to do in this case is to first find the z-score based on this information given.

Mathematically,

Z-score = x- mean/standard deviation

Here, z-score will have a value of;

(16.4-14.2)/2.15 = 1.023

Therefore,

P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse