An auto body shop receives 70 percent of its parts from one manufacturer. If parts from the shop are selected at random with replacement, what is the probability that the first part not from this manufacturer is the 6 th part selected?

For the first part not to come from this manufacturer to be the sixth, the first five parts must come from it, and the sixth must not. With replacement, these probabilities stay the same on each selection, so the probability is 0.7⁵ × 0.3 = 0.050421, which rounds to 0.0504. The correct choice is 0.0504.

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