In an international school, there are two foreign language courses, German and French. Each student mustenroll one and only one of the two courses. According to the students' preferences survey conducted at theinduction day, 60% of students decide to study German.Suppose now there are 7 students in the registrationcounter.(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 thanGerman course?(c) For many groups, each with 7 students, find the expectation and standard deviation of the number ofstudents will enroll in German course in a group.

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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.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 11CT: Three people are chosen at random from a group of live men and ten women. What is the probability...

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