Midterm 1 Sample Exam: Spring 2026

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Original Exam Instructions

Questions

Question 1: Galvanized Steel Objects

(a) Union of events (3 points)

(b) Mutually exclusive events (4 points)

(d) Recalibrating a normal process (8 points)

(e) Independence in a second batch (8 points)

Question 2: Drilling Times

(a) Matching a histogram (3 points)

(b) Concatenating vectors (3 points)

(d) Combined boxplot (3 points)

Question 3: Supplement Scoops

(a) Probability between two amounts (3 points)

(b) Four-scoop serving (8 points)

Question 4: Time to Complete an Online Form

(a) Population shape (3 points)

(b) Fraction between two times (3 points)

(d) Comparing a mean with a single observation (3 points)

(e) Upper tail of the sample mean (8 points)

(f) Meaning of iid (5 points)

Question 5: Brick Classifications

(a) Missing probability (4 points)

(b) Exactly 13 Standard bricks (8 points)

Question 6: A Discrete Population and an R Simulation

(a) Population standard deviation (6 points)

(b) Classifying a summary (3 points)

(i) Changing the placeholder

(ii) The sampled population

(iii) Vector length

(iv) Loop iterations

(v) Proportion above 1

(vi) Average count of 3s

(vii) Average total

R Reference Output