Question

10. After planting 20 evergreen tree saplings on his farm, Don wonders about their heights. The heights are independent and normally distributed, with an average height of 3 feet, and standard deviation of 1.2 feet. a) What is the probability that none of the 20 tree heights exceeds 5 feet? Show your reasoning. b) What is the probability that fewer than 5 of the 20 tree heights exceeds 5 feet?

Name: 10 after planting 20 evergreen tree saplings on his farm don wonders about their heights the heights are independent and normally distributed with an average height of 3 feet and standard de 35909
Uploaded: 2022-06-06T17:58:39-08:00
Duration: 1 min 7 s
Channel: Thuc Nguyen
Description: 10 after planting 20 evergreen tree saplings on his farm don wonders about their heights the heights are independent and normally distributed with an average height of 3 feet and standard de 35909

          10. After planting 20 evergreen tree saplings on his farm, Don wonders about their heights. The heights are independent and normally distributed, with an average height of 3 feet, and standard deviation of 1.2 feet.

a) What is the probability that none of the 20 tree heights exceeds 5 feet? Show your reasoning.

b) What is the probability that fewer than 5 of the 20 tree heights exceeds 5 feet?

10 after planting 20 evergreen tree saplings on his farm don wonders about their heights the heights are independent and normally distributed with an average height of 3 feet and standard de 35909

Added by Enrique J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Thuc Nguyen

06/06/2022

Step 1

We are given that $H$ is normally distributed with an average height (mean) $\mu = 3$ feet and a standard deviation $\sigma = 1.2$ feet. We are interested in the probability that a tree's height exceeds 5 feet, i.e., $P(H > 5)$. First, we standardize the value 5 Show more…

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10. After planting 20 evergreen tree saplings on his farm, Don wonders about their heights. The heights are independent and normally distributed, with an average height of 3 feet, and standard deviation of 1.2 feet. a) What is the probability that none of the 20 tree heights exceeds 5 feet? Show your reasoning. b) What is the probability that fewer than 5 of the 20 tree heights exceeds 5 feet?