. Wen received the final grade for her 3rd year Econometrics course at the end of last semester. Wen did exceptionally well and received a final grade of 98.5 out of 100. The final grades were normally dis- tributed with a mean of 65 and a standard deviation of 20. Let X be the final grade of a randomly selected student, and Z be the standard normal distribution.

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4. Wen received the final grade for her 3rd year Econometrics course at
the end of last semester. Wen did exceptionally well and received a
final grade of 98.5 out of 100. The final grades were normally dis-
tributed with a mean of 65 and a standard deviation of 20. Let X be
the final grade of a randomly selected student, and Z be the standard
normal distribution.
(d) Calculate the value z such that Pr(X > x) = 0.05.
(e) The top 5% of students were offered the chance to undertake a
Winter internship with their local Bureau of Statistics. Was Wen
offered the opportunity to undertake one of these internships?
Transcribed Image Text:4. Wen received the final grade for her 3rd year Econometrics course at the end of last semester. Wen did exceptionally well and received a final grade of 98.5 out of 100. The final grades were normally dis- tributed with a mean of 65 and a standard deviation of 20. Let X be the final grade of a randomly selected student, and Z be the standard normal distribution. (d) Calculate the value z such that Pr(X > x) = 0.05. (e) The top 5% of students were offered the chance to undertake a Winter internship with their local Bureau of Statistics. Was Wen offered the opportunity to undertake one of these internships?
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