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A study conducted by the nationally known Taurus Health Club revealed that 30% of its new members are 15 pounds overweight. A membership drive in a metropolitan area resulted in 500 new members.
a. It has been suggested that the normal approximation to the binomial be used to determine the probability that 175 or more of the new members are 15 pounds overweight. Does this problem qualify as a binomial problem? Explain.
b. What is the probability that 175 or more of the new members are 15 pounds overweight?
c. What is the probability that 140 or more new members are 15 pounds overweight? |
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