B Apply

25. Think About a Plan One survey found that 80% of respondents eat corn on the cob in circles rather than from side to side. Assume that this sample accurately represents the population. What is the probability that, out of five people you know, at least two of them eat corn on the cob in circles?
    • How can you find the probability that one person eats corn on the cob in circles?
    • How does a probability distribution help you solve the problem?
26. Weather A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?

Marketing A fruit company guarantees that 90% of the pineapples it ships will ripen within four days of delivery. Find each probability for a case containing 12 pineapples.

27. All 12 are ripe within four days.
28. At least 10 are ripe within four days.
29. No more than 9 are ripe within four days.

30. Open-Ended Describe a situation that the graph might represent.

    

Sociology A study shows that 50% of people in a community watch television during dinner. Suppose you select 10 people at random from this population. Find each probability.

31. P(exactly 5 of the 10 people watch television during dinner)
32. P(exactly 6 of the 10 people watch television during dinner)
33. P(at least 5 of the 10 people watch television during dinner)
34. Writing Explain how a binomial experiment is related to a binomial expansion.
35. Quality Control A company claims that 99% of its cereal boxes have at least as much cereal by weight as the amount stated on the box.
    1. At a quality control checkpoint, one box out of a random sample of ten boxes falls short of its stated weight. What is the probability of this happening due to chance variation in box weights?
    2. Reasoning Suppose three of ten boxes fail to have the claimed weight. What would you conclude? Explain.

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