A medical device company knows that 11% of patients experience injection-site reactions with the current needle. If 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?

The probability that one patient does not experience a reaction is 1 − 0.11 = 0.89. Assuming the patients’ outcomes are independent, the probability that none of the four has a reaction is 0.89⁴ ≈ 0.6274, so the correct choice is D, 0.6274.

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