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The probability that a screw manufactured by a company is defective is 0.1. The company sells screws in packets containing 5 screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is ___.
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- 1.41
- 0.141
- 0.41
- 10.41
Correct Option: C
we require P(x ≥ 1) = 1 – P(x = 0)
= 1 – 5C0 (0.1)0 (0.9)5
= 0.4095 ≈ 0.41
