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[Solved] The population of SAT scores forms a normal distribution with a mean of μ =500 and a standard deviation of σ =100. If the average SAT

Question: The population of SAT scores forms a normal distribution with a mean of \(\mu \) =500 and a standard deviation of \(\sigma \) =100. If the average SAT score is calculated for a sample of n=25

  1. what is the probability that the sample mean will be greater than M=510. In symbols what is p(M>510)?
  2. What is the probability that the sample mean will be greater than M=520. In symbols what is p(M>520)?
  3. What is the probability that the sample mean will be between M=510 & M=520? In symbols what is p(510

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