The heights of grade 11 students are normally distributed with an average height of grade 11 students is 167 cm with a variance of 144 cm2. a) Find the probability that a grade 11 student will have a height between 160 cm and 175 cm. b) A grade 11 student is known to have a height between 160 cm and 175 cm, what is the probability that the student’s height is less than 165 cm c)In a sample of 1000 grade 11 students, what is the probability that more than 600 students will have a height less than 160cm.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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The heights of grade 11 students are normally distributed with an average height of
grade 11 students is 167 cm with a variance of 144 cm2.

a) Find the probability that a grade 11 student will have a height between 160 cm and 175 cm.

b) A grade 11 student is known to have a height between 160 cm and 175 cm, what is the probability that the student’s height is less than 165 cm

c)In a sample of 1000 grade 11 students, what is the probability that more than 600
students will have a height less than 160cm.

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