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(Solved): The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and ...



The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm.16 What percentage of the plant heights are
(a) 100cmormore?
(b) 120cmorless?
(c) between 120 and 150 cm?
(d) between100and120cm?
(e) between150and180cm?
(f) 180 cm or more?
(g) 150cmorless?
Find the 90th percentile of the height distribution.


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Expert Answer



Given:

Population mean,   
Standard deviation,   

a) To find the probability that the plant heights are 100 cm or more.

To find   



Therefore,   
By using z-table:


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