Asked by Sonja Knezic on May 30, 2024
Verified
Suppose a computer chip manufacturer rejects 3% of the chips produced because they fail presale testing.If you test 4 chips,what is the probability that all of the chips fail?
A) 0.03
B) 0.08853
C) 0.97
D) 8.1 × 10−710 ^ { - 7 }10−7
E) 0.12
Presale Testing
The process of evaluating the potential market success of a product or service before it is launched to the public.
Probability
The quantification of the probability that an event will happen, expressed as a numerical value ranging from 0 to 1.
Computer Chip
A small electronic component made from silicon that contains integrated circuits used in computers and other devices.
- Evaluate the chances of specific scenarios occurring in binomial distributions.
Verified Answer
KB
Katie BorthsMay 30, 2024
Final Answer :
D
Explanation :
The probability of one chip failing is 3%, or 0.03. For all four chips to fail independently, multiply the probabilities: 0.03×0.03×0.03×0.03=8.1×10−80.03 \times 0.03 \times 0.03 \times 0.03 = 8.1 \times 10^{-8}0.03×0.03×0.03×0.03=8.1×10−8 , which is option D.
Learning Objectives
- Evaluate the chances of specific scenarios occurring in binomial distributions.