math
posted by tms .
in a grocery store, butter is sold in “sticks” that are shaped like little bricks. The weights of these sticks are like draws at random with replacement from a population with average 4 ounces and SD 0.2 ounces. The grocery store receives the butter in boxes; each box consists of 100 sticks.
1.The chance that the average weight of the sticks in one box is less than 3.999 ounces is closest to (pick the best of the available options, even if you can calculate the chance more accurately)
32%
36%
40%
44%
48%
50%
52%
2.The grocery store has received 6 boxes of butter. There is about ___________ chance that in at least one of the boxes, the average weight of sticks is less than 3.999 ounces. Fill in the blank with the best of the following options.
82%
86%
90%
94%
98%

Pls help

1.50%
2.82% 
1)average=4; SD=0.2;sample =100
the expected total = 100*4=400
SE of total= sqrt(100)*0.2=2
(100*3.999400)/2=0.05
using applet:5...0.05
approximately 48% 
1)average=4; SD=0.2;sample =100
the expected total = 100*4=400
SE of total= sqrt(100)*0.2=2
(100*3.999400)/2=0.05
using applet:5...0.05
approximately 48% 
2) binomial:
n=6 p=0.48; x=6
using applet:1.22306%
11.22306%=98% 
its right dean thanks