randomly selected group of 560 students are assumed to have heights distributed normally with mean µ = 166 cm and standard deviation σ = 30 cm. Suppose a student is chosen randomly from this group. Find a. the probability that this student’s height is between 170 cm and 182 cm. b. the probability that this student’s height is bigger than 175 cm.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A randomly selected group of 560 students are assumed to have heights distributed normally with mean
µ = 166 cm and standard deviation σ = 30 cm. Suppose a student is chosen randomly from this group. Find
a. the probability that this student’s height is between 170 cm and 182 cm.
b. the probability that this student’s height is bigger than 175 cm.

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