Question

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?

Answer 1

Answer:

0.153

Step-by-step explanation:

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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