A crate contains 30 light bulbs, five of which are defective. A quality control officer randomly...
A crate contains 30 light bulbs, five of which are defective. A quality control officer randomly selects a committee of three bulbs without replacement.
a. Find the probability distribution for X = the number of bulbs (out of three) that are defective. (Please round your probabilities to three decimals.)
b. Use your distribution to find the probability that at most one (out of the three) bulbs is defective.
c. Use your distribution to find the probability that at least two (out of the three) bulbs are defective
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