Randolph College
Department of Mathematics and Computer Science

 

Homework # 15 - MATH 2227


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

Say the weight of fruit produced by a single cherry tree of a certain variety is normally distributed with mean 40 lbs and standard deviation 8 lbs

 

1.  If a particular tree produces more fruit than 70\% of trees of this variety, to the nearest pound find the weight of fruit that tree produces.

a.  40 lbs

b.  42 lbs

c.  44 lbs

d.  46 lbs

d.  48 lbs

 

2.  To the nearest percent, find the probability that a single tree will produce more than 30 lbs of fruit.

a.  95\%

b.  89\%

c.  65\%

d.  34\%

d.  11\%

 

3.  To the nearest percent, find the probability that the average per-tree production of a group of four trees will be greater than 30 lbs of fruit.

a.  99\(\%\)

b.  98\(\%\)

c.  71\(\%\)

d.  2\(\%\)

d.  1\(\%\)