The heights of a certain species of plant are normally distributed, with mean 22 cm and standard deviation 4 cm. What is the probability that a plant chosen at random will be will be between 18 and 26 cm tall? Round your answer to four decimal places.
A)0.6826
B)0.3413
C)0.8413
D)0.1587
E)0.6587

Question

The heights of a certain species of plant are normally distributed, with mean 22 cm and standard deviation 4 cm. What is the probability that a plant chosen at random will be will be between 18 and 26 cm tall? Round your answer to four decimal places. ​
A)0.6826
B)0.3413
C)0.8413
D)0.1587
E)0.6587

Quizplus · Accepted Answer

The range from 18 to 26 cm tall is within one standard deviation (4 cm) of the mean (22 cm) in a normal distribution. According to the empirical rule (68-95-99.7 rule), approximately 68.26% of the data falls within one standard deviation of the mean in a normal distribution, which corresponds to choice A, 0.6826.

The Heights of a Certain Species of Plant Are Normally