X be the number of students living in apartments out of those 200 students. a). Is X a binomial random variable? Justify. If yes, identify n and p. b). Compute the mean and standard deviation of X. c). Are the conditions of Normal approximation to the binomial satisfied for this study?
X be the number of students living in apartments out of those 200 students. a). Is X a binomial random variable? Justify. If yes, identify n and p. b). Compute the mean and standard deviation of X. c). Are the conditions of Normal approximation to the binomial satisfied for this study?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
![2. Suppose in UMKC 38% of the students live in apartments, and 200 students are randomly selected. Let
X be the number of students living in apartments out of those 200 students.
а).
Is X a binomial random variable? Justify. If yes, identify n and p.
b).
Compute the mean and standard deviation of X.
c).
Are the conditions of Normal approximation to the binomial satisfied for this study?
d).
What is the normal distribution by which X is approximated?
е).
Approximately what is the probability that the number of students living in apartments out of
those 200 students will be between 50 and 75 inclusive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ef9ac27-c54b-47a7-aeef-32608fd8a9e9%2F96fe1557-a47a-4ba6-9fe4-77e3c97d7aa7%2Fklk4x4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Suppose in UMKC 38% of the students live in apartments, and 200 students are randomly selected. Let
X be the number of students living in apartments out of those 200 students.
а).
Is X a binomial random variable? Justify. If yes, identify n and p.
b).
Compute the mean and standard deviation of X.
c).
Are the conditions of Normal approximation to the binomial satisfied for this study?
d).
What is the normal distribution by which X is approximated?
е).
Approximately what is the probability that the number of students living in apartments out of
those 200 students will be between 50 and 75 inclusive.
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