You are the teacher of two math classes of 20 and 25 students respec a university program, the students need a 75% in the class. Suppose ea probability of getting atleast a 75% in the class. Let X1 be the numbe class of 20 who receive atleast a 75%. Let X2 be the number of studen who receive atleast a 75%. a. Do X1 and X, fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled b

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Just e)
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.
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
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman