Assume that the height of a type of tree has a normal probability distribution with a mean of 85.9 ft and a standard deviation of 9.4 ft. A tree of this type grows in my backyard and it stands 59.6 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 74.6 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 3 decimal places.
Assume that the height of a type of tree has a normal probability distribution with a mean of 85.9 ft and a standard deviation of 9.4 ft. A tree of this type grows in my backyard and it stands 59.6 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 74.6 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 3 decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question

Transcribed Image Text:Assume that the height of a type of tree has a normal probability distribution with a
mean of 85.9 ft and a standard deviation of 9.4 ft.
A tree of this type grows in my backyard and it stands 59.6 feet tall. Find the
probability that the height of a randomly selected tree is as tall as mine or shorter.
My neighbor also has a tree of this type growing in her backyard, but hers stands 74.6
feet tall. Find the probability that the full height of a randomly selected tree is at
least as tall as hers.
Enter your answers as decimals accurate to 3 decimal places.
Expert Solution

Step 1
Let us denote X= height of a tree
Given that X follows a normal distribution with mean=85.9 and standard deviation= 9.4
Step by step
Solved in 3 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
