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In an international school, there are two foreign language courses, German and French. Each student must enroll one and only one of the two courses. According to the students' preferences survey conducted at the induction day, 60% of students decide to study German. Suppose now there are 7 students in the registration counter. (a) What is the probability that among the 7 students, all students will enroll in German course? (b) What is the probability that among the 7 students, there will be more enrollments in French course than German course? (c) For many groups, each with 7 students, find the expectation and standard deviation of the number of students will enroll in German course in a group.

In an international school, there are two foreign language courses, German and French. Each student must enroll one and only one of the two courses. According to the students' preferences survey conducted at the induction day, 60% of students decide to study German. Suppose now there are 7 students in the registration counter. (a) What is the probability that among the 7 students, all students will enroll in German course? (b) What is the probability that among the 7 students, there will be more enrollments in French course than German course? (c) For many groups, each with 7 students, find the expectation and standard deviation of the number of students will enroll in German course in a group.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In an international school, there are two foreign language courses, German and French. Each student must enroll one and only one of the two courses. According to the students' preferences survey conducted at the induction day, 60% of students decide to study German. Suppose now there are 7 students in the registration counter. (а) What is the probability that among the 7 students, all students will enroll in German course? (b) What is the probability that among the 7 students, there will be more enrollments in French course than German course? (c) For many groups, each with 7 students, find the expectation and standard deviation of the number of students will enroll in German course in a group.
Transcribed Image Text:In an international school, there are two foreign language courses, German and French. Each student must enroll one and only one of the two courses. According to the students' preferences survey conducted at the induction day, 60% of students decide to study German. Suppose now there are 7 students in the registration counter. (а) What is the probability that among the 7 students, all students will enroll in German course? (b) What is the probability that among the 7 students, there will be more enrollments in French course than German course? (c) For many groups, each with 7 students, find the expectation and standard deviation of the number of students will enroll in German course in a group.
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