In Normal distribution(z) tomato plants have height less than 4.07 feet is 97.93 %.
What is normal distribution?
Normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
The heights of tomato plants are Normally distributed.
Mean(μ) = 3.56
Standard deviation (σ) = 0.25
For a tomato plants that has a height of 4.07 feet
In order to find Percentage of tomato plants have a height less than 4.07 feet
Standard Normal Distribution Formula,
z = (x-μ)/σ where X~(μ,σ).
= [tex]\frac{4.07-3.56}{0.25}[/tex]
= [tex]\frac{0.51}{0.25}[/tex] = 2.04.
P ( x < 4.05) = P( z < 2.04 )
= 0.9793 ( Using standard Normal distribution table)
To find the percentage of tomato plants have height less than 4.07 feet is
multiply 0.9793 by 100
= 97.93%
Hence, Using Standard Normal distribution we find tomato plants have height less than 4.07 feet is 97.93 %
To learn more about Normal distribution here
https://brainly.com/question/11893722
#SPJ2
