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Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is .2%. If this cutter works on 100 stones, what is the probability that he breaks between 2 and 7 stones (including the 2 and 7)? P(2≤X≤7)=? This information will help a gemologist hire and assess high-quality employees.

Answer :

Answer:

Step-by-step explanation:

use the probability formula P=(.2)^2+(.8)^98 which will simplify to P=(.04)+(.00000000031) and that simplifies to P=.04 or around 4% for 2 stones

use this formula for 3, 4, 5, 6, and 7 then add all the answers for the final answer

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