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 19 strawberries.

Probability of between 15 and 17 was 34%.

Probability of between 17 and 19 was 13.5%.

P = [?]% ​​

Answer 1

To find the probability that a given plant produced between 15 and 19 strawberries, you can use the information you have about the probabilities within smaller ranges and combine them.

You know:

Probability of between 15 and 17 strawberries = 34%
Probability of between 17 and 19 strawberries = 13.5%
To find the probability between 15 and 19 strawberries, you can add these two probabilities together:

P(between 15 and 19) = P(15 to 17) + P(17 to 19) = 34% + 13.5% = 47.5%

So, the probability that a given plant produced between 15 and 19 strawberries is 47.5%.