The number of students who show up to Consolidated High School (Consol) Prom is N(276, 1156). a) The Prom's capacity is 384 students. What is the probability the capacity will be broken this year? Use 4 decimals   b) The planning committee worries this year Consol will have the worst attendance in a decade. What number of students would mark the lowest 8%? Use 1 decimal place  students. c) If more than half the students at Consol show up - that's 456 students, the caterers will lose money. What is the probability this could happen? Use 4 decimal places.   d) The distribution for the Navasota High School Prom is N(371, 2401). If Consol had 378 students show up, how many students would need to be at the Navasota prom to have the same level of success? Use 2 decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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The number of students who show up to Consolidated High School (Consol) Prom is N(276, 1156).

a) The Prom's capacity is 384 students. What is the probability the capacity will be broken this year?
Use 4 decimals
 

b) The planning committee worries this year Consol will have the worst attendance in a decade. What number of students would mark the lowest 8%?
Use 1 decimal place
 students.

c) If more than half the students at Consol show up - that's 456 students, the caterers will lose money. What is the probability this could happen?
Use 4 decimal places.
 
d) The distribution for the Navasota High School Prom is N(371, 2401). If Consol had 378 students show up, how many students would need to be at the Navasota prom to have the same level of success?
Use 2 decimal places.

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