# MATH-142-14-16

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Question 1 1 / 1 pts Using this distribution of Roman coin weights, find the probability that a coin weighs a) less than 0.875 oz ["", "", "", ""] b) more than 1.250 oz ["", "", "", ""] c) between 0.875 and 1.250 oz ["", "", "", ""] d) the heaviest 20.1% of coins weigh more than ["", "", "", ""] . Answer 1: Correct! 0.035 Answer 2: Correct!
0.615 Answer 3: Correct! 0.35 Answer 4: Correct! 1.625 oz Question 2 6 / 6 pts The ages of students in a work-study program is normally distributed with mean 27 years, with standard deviation 3 years. Answer the questions below. a) P(24 ≤ x ≤ 27) ["", "", "", ""] b) P(21 ≤ x ≤ 30) ["", "", "", ""] c) P(18 ≤ x ≤ 33) 0.9735 d) Half the students are older than ["", "", "", ""] and half are younger. e) How many standard deviations above the mean is a student who is 30 years old? ["", "", ""]
f) What is the z-score for a student aged 18? ["", "", "", ""] Answer 1: Correct! 0.34 Answer 2: Correct! 0.815 Answer 3: Correct! 0.9735 Answer 4: Correct! 27 Answer 5: Correct! 1 Answer 6: Correct! -3 Question 3 6 / 6 pts The heights of 11-year-old boys have mean 56.4 inches and standard deviation 1.1 inches. The heights of 11-year-old girls have mean 56.7 inches and standard deviation 1.6 inches. a) What is the z-score for an 11-year-old boy who is 58.2 inches tall? ["", "", "", ""] b) What is the z-score for an 11-year-old girl who is 58.2 inches tall?