You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X, fit the binomial setting? Are there any issues?
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X, fit the binomial setting? Are there any issues?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter2: Solving Linear Inequalities
Section: Chapter Questions
Problem 1CT
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Question
Transcribed Image Text:You are the teacher of two math classes of 20 and 25 students respectively. To get into
a university program, the students need a 75% in the class. Suppose each student has a 0.7
probability of getting atleast a 75% in the class. Let X1 be the number of students in the
class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25
who receive atleast a 75%.
a. Do X1 and X2 fit the binomial setting? Are there
any
issues?
For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri-
bution.
b. What is the probability that exactly 15 students in the class of 20 get into the pro-
gram? Do not use Table C.
c. What is the probability that atleast 22 students in the class of 25 get into the pro-
gram? Do not use Table C.
d. Using Table C, what is the probability that atleast 17 students in the class of 20 get
into the program?
е.
Let X be the number of students in both classes that get into the program. Deter-
mine the mean and standard deviation of X.
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