Consider a population of 250 with a mean of 50 and a standard deviation equal to 25. What is the probability of obtaining a sample mean of 52 or less from a sample of 45?

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A: Given  12 + 22 + 32 + ⋅ ⋅ ⋅ + n2 = n(n+1)(2n+1)6Step 1   P(1) is true             P(1) = I2 = 1   ⇒…