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Question 1 - You happen to know that the average GPA (grade point average) for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. Amazingly, the GPAs are normally distributed. If you take a random sample of 40 sophomores, what is the probability that the average gpa will be more than 2.9?a) .0057 b) .7257 c) .9943 d) .2743
Question 2 - You happen to know that the average GPA for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. Amazingly, the GPAs are normally distributed. If you take a randomly chosen sophomore, what is the probability that her gpa will be less than 2.9?a) .0057 b) .3446 c) .9943 d) .6554
Question 3 - A lumber manufacturer sells framing lumber. The length of their boards are normally distributed and average 8 ft long with a standard deviation of .04 ft. What are the odds that if you took a sample of 50 boards that their average would be less than 8.015 ft? a) .0040 b) 2.66 c) .6462 d) .9960
Question 4 - You happen to know that the average GPA (grade point average) for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. If you take a sample of 30 sophomores, there is a ten percent chance the sample average will be less than what value? a) 2.48 b) 2.742 c) 1.282 d) 2.858
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This assignment is hand written. It is based on calculations of probability distributions mainly normal. It is fully original work and there is no plagiarism
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