(Answered) Mean of the sums

Statistics

Question 1: An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.

Find the sum that is 1.9 standard deviations below the mean of the sums. (Round your answer to two decimal places.)

Question 2: An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.

Find the probability that the sum of the 95 values is less than 7,350. (Round your answer to four decimal places.)

Question 3: An unknown distribution has a mean 12 and a standard deviation of one. A sample size of 25 is taken. Let X = the object of interest.

What is P(Σx > 310)? (Round your answer to four decimal places.)

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