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The population of SAT scores forms the normal distribution with mean of µ=500 and standard deviation of o =100. If average SAT score is calculated for a sample of n=25 students,

A. Determine the probability that sample mean will be greater than M=510. In symbols, what is p(M>510)?
B. Determine the probability that sample mean will be greater than M=520. In symbols, what is p(M>520)?
C. Determine the probability that sample mean will be between M=510 and M=520? In symbols, determine p(510

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