Question: A machine, producing defective parts with probability 1/10, has produced five parts. Unknown to the operator of the machine, an adjustment to the machine increases

A machine, producing defective parts with probability 1/10, has produced five parts.

Unknown to the operator of the machine, an adjustment to the machine increases this probability to 1/5. Ten parts are produced after the adjustment. What is the probability the output contains at least 2 defectives? Assume the parts are produced according to a binomial process.

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