what percent of Harleys apples have between 5 and 11 seeds

What Percent Of Harleys Apples Have Between 5 And 11 Seeds class=

Answer :

Finding the percent is equal to find the probability:

[tex]P(5\leq X\leq11)[/tex]

in this normal distribution. To find this probability we need to use the z-score:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

Then we have:

[tex]P(5\leq X\leq11)=P(\frac{5-9}{2}\leq Z\leq\frac{11-9}{2})=P(-2\leq Z\leq1)[/tex]

Using the table given we have that:

[tex]P(-2\leq Z\leq1)=0.84134-0.02275=0.81859[/tex]

Therefore 81.9% of Haleys apples have between 5 and 11 seeds.