roblem-A research study conducted in L A County at a local gym found that 30% of new members were overweight. An advertising campaign resulted in 500 new members signing contracts to become members for a period of 1 year. Is this problem a legitimate binomial distribution so that one can apply the Normal approximation to the binomial? What is the probability that 175 or more of the new members are overweight? What is the probability that 140 or less of the new members are overweight?

MATLAB: An Introduction with Applications
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Problem-A research study conducted in L A County at a local gym found that 30% of new members were overweight. An advertising campaign resulted in 500 new members signing contracts to become members for a period of 1 year.

  • Is this problem a legitimate binomial distribution so that one can apply the Normal approximation to the binomial?
  • What is the probability that 175 or more of the new members are overweight?
  • What is the probability that 140 or less of the new members are overweight?
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