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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
Related questions
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning