Answer to Question #343706 in Statistics and Probability for Takalani

Question

A box of 15 peaches is ready for shipment and 3 of the peaches are defective. An inspector will

select at most 3 peaches from the box. He selects each peach randomly, one at a time, inspects it

and if it is not defective, he selects the next one. If he selects a defective peach, he stops the

process, and the box will not be shipped. If the first three peaches selected are good, he replaces the

3 peaches and ships the box.

1.1. Draw the tree diagram representing the outcome and assign probabilities.

1.2.What is the probability that the box is shipped?

1.3.What is the probability that the second peach is bad, or the 3

rd peach is good?

Answer 1

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