Question 4                                                                                                                         The length of a fully grown hibiscus plant is normally distributed and has a mean 35cm. It is found that 5% of these plants are longer than 45cm. Find the standard deviation σ.                                                                                     When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected.                                                Could the standard normal table be used to solve this question?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 4                                                                                                                        

The length of a fully grown hibiscus plant is normally distributed and has a mean 35cm. It is found that 5% of these plants are longer than 45cm.

  1. Find the standard deviation σ. 

                                                                                  

  1. When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected.                                                Could the standard normal table be used to solve this question?
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