Question

What percent of Harleys apples have between 5 and 11 seeds

Answer 1

Finding the percent is equal to find the probability:

`P(5\leq X\leq11)`

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

`Z=(x-\mu)/(\sigma)`

Then we have:

`P(5\leq X\leq11)=P((5-9)/(2)\leq Z\leq(11-9)/(2))=P(-2\leq Z\leq1)`

Using the table given we have that:

`P(-2\leq Z\leq1)=0.84134-0.02275=0.81859`

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