Question

Suppose the number of strawberries a plant

produces is normally distributed with a mean
of 15 and a standard deviation of 2
strawberries.
Find the probability a given plant produced
between 15 and 17 strawberries.
9
2.35%
11
13.5% 34% 34% 13.5%
13
15
P = [?]%
17
2.35%
19 21

Answer 1

Using the normal distribution, we can find the probability that a given plant produced between 15 and 17 strawberries by standardizing the distribution to a standard normal distribution.

Z-score for 15 strawberries: (15-15)/2 = 0
Z-score for 17 strawberries: (17-15)/2 = 1

Using a standard normal distribution table, we can find the probability of a Z-score between 0 and 1 to be 0.3413.

Therefore, the probability a given plant produced between 15 and 17 strawberries is 34.13% (rounded to two decimal places).