A fruit packing plant in Florida reports that 15% of packed oranges will spoil by the...

A fruit packing plant in Florida reports that 15% of packed oranges will spoil by the time they reach their destination. Suppose a grocery store receives a shipment of 1000 oranges from the plant. The produce manager takes a random sample of 50 oranges from the shipment to check the quality of the oranges. For each of the following questions, write down an expression for the probability you wish to find, then use your calculator to find the probability.

1. Is this a binomial setting? Check all conditions.

2. What is the probability that 5 oranges will be spoiled?

3. What is the probability that none of the oranges will be spoiled?

4. What is the probability that more than 12 of the oranges will be spoiled?

5. What is the probability that fewer than 10 oranges will be spoiled?

6. What is the probability that between 5 and 15 oranges (inclusive) will be spoiled?

7. If the manager finds 30 spoiled oranges should he complain to the fruit plant? Why or why not? Use probability to support your decision.

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Expert Solution

orchestra answered 1 year ago

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