The average height of flowering cherry trees in a nursery is 9.5 feet. If the heights are normally distributed with a standard deviation of 1.3, find the probability that a tree is less than 11.5 feet tall.
A) 0.82
B) 0.94
C) 0.97
D) 0.88

Question

Quizplus · Accepted Answer

To find the probability that a tree is less than 11.5 feet tall, we calculate the z-score: z = (11.5 - 9.5) / 1.3 ≈ 1.54. Using a standard normal distribution table, the probability corresponding to a z-score of 1.54 is approximately 0.94.

The Average Height of Flowering Cherry Trees in a Nursery