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.  Please show the solution using standard normal table

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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.  Please show the solution using standard normal table 
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