Statistics I20765 marksNumerical: binomial distribution probabilityDiscrete distributions
A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 15%. The inspector randomly picks 10 items from a shipment. What is the probability that there will be at least one defective item among these
A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 15%. The inspector randomly picks 10 items from a shipment. What is the probability that there will be at least one defective item among these 10? [5]
- Defective rate (probability of success): $p = 0.15$ - Non-defective probability: $q = 1 - p = 0.85$ - Sample size: $n = 10$ - Required: $P(X \geq 1)$ --- Each device is defective or not, selections are independent, and $p$ is constant. This is a Binomial Distribution: $$X \sim B(10, 0.15), \qqu...