Engineering Board Exam Reviewer · Hypergeometric, Poisson, and Geometric Distributions · hard

A box has 8 good and 4 defective items. Five items are drawn without replacement. What is the probability that at most 1 is defective?

  1. 0.0707
  2. 0.4242
  3. 0.3535
  4. 0.5758

Answer

B. 0.4242

Solution

P(X≤1)= 8C5+4C1,8C412C5=56+280/792=14/33=0.4242.

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