15
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 15 • SVLC ALGEBRA 2B - STANDARD (15272)

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

Answer
A
0.13%
B
0.26%
C
2.3%
D
4.6%

Explanation

Convert the tree height to a z-score: (37 − 25) ÷ 6 = 2. The table shows that about 0.9772, or 97.72%, of trees are at or below 2 standard deviations above the mean. Thus, the probability of a height at least 37 meters is 1 − 0.9772 = 0.0228, or 2.28%, which rounds to 2.3%.

AI-written and checked against the verified answer.

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