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math homework sch

Question Description

  1. In a certain population, heights (in inches) are normally distributed with a = 67 and = 3. Find the probability that a person selected at random has a height between 63inches and 71 inches.
  2. A bookstore determines that 2/5 of the people that come into the bookstore make apurchase. What is the approximate probability that of the 54 people who come into thebookstore during a certain hour, less than 14 make a purchase?
  3. If you deposit $4500 at 5% annual interest compounded monthly, how much money willbe in the account after 10 years?
  4. A lottery winner is given two options:
    Option I: Receive a $20 million lump-sum payment.
    Option II: Receive 25 equal annual payments totaling $60 million, with the first paymentoccurring immediately.If you can earn money at 6% interest compounded annually during that long period,which option is better?
  5. In a recent year, Ford was offering the choice of 1.9% loan for 36 months or $1000 cashback on the purchase of a $28,000 Taurus.
  1. If you take the 1.9% loan offer, how much will your monthly payment be?
  2. If you take the $1000 cash-back offer and can borrow money at your local bank at 6%interest compounded monthly for 3 years, how much will your monthly payment be?
  3. Whichoptionismorefavorabletoyou?

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