HOW DO I SOLVE THIS QUESTION!?!?!

1. A buyer for a specialty clothing manufacturer must buy at least 2000 bales of cotton that weigh at least 420 kilograms per bale. A cotton broker has a shipment of 100,000 bales with weights that are normally distributed with a mean of 376 kilograms and a standard deviation of 22 kilograms. How many bales should the buyer purchase to ensure that he has at least 2000 bales that weigh 420 kilograms each?
A. 100,000
B. 36,600
C. 78,000
D. 80,000

Question

HOW DO I SOLVE THIS QUESTION!?!?!

1. A buyer for a specialty clothing manufacturer must buy at least 2000 bales of cotton that weigh at least 420 kilograms per bale. A cotton broker has a shipment of 100,000 bales with weights that are normally distributed with a mean of 376 kilograms and a standard deviation of 22 kilograms. How many bales should the buyer purchase to ensure that he has at least 2000 bales that weigh 420 kilograms each?
A. 100,000
B. 36,600
C. 78,000
D. 80,000

anonymous · Answer

@bbcream14 hey can you help me?

anonymous · Answer

yeah hang on let me try to salve it

anonymous · Answer

@TheOcean  help

anonymous · Answer

i'd say C

anonymous · Answer

c

anonymous · Answer

normalCdf(420,infinity,376,22) = 0,02275 = 2,275% chance of having a bale of 420+ kg

2000/0.02275 = 87912.1 so you'll need at the very least 87913 bales to be reasonably certain