29. The registration record of a private college indicates that 40 % of its new intakes are international students and the remaining are local students. a. If 20 new students are randomly selected and the number of local students are noted, find the probability that there are i. equal number of local and international students. ii. not less than 9 local students. b. Exactly 100 new students are randomly selected. By using a suitable approximate distribution, i. find the probability that between 38 and 46 are international students. ii. determine the value m such that the probability that the number of international students is at most m is 0.993.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q29 part B Ans: b) i. 0.4903 ii. m = 52
29. The registration record of a private college indicates that 40 % of its new intakes are international
students and the remaining are local students.
a. If 20 new students are randomly selected and the number of local students are noted, find the
probability that there are
i. equal number of local and international students.
ii. not less than 9 local students.
b. Exactly 100 new students are randomly selected. By using a suitable approximate distribution,
i. find the probability that between 38 and 46 are international students.
ii. determine the value m such that the probability that the number of international students is at
most m is 0.993.
Transcribed Image Text:29. The registration record of a private college indicates that 40 % of its new intakes are international students and the remaining are local students. a. If 20 new students are randomly selected and the number of local students are noted, find the probability that there are i. equal number of local and international students. ii. not less than 9 local students. b. Exactly 100 new students are randomly selected. By using a suitable approximate distribution, i. find the probability that between 38 and 46 are international students. ii. determine the value m such that the probability that the number of international students is at most m is 0.993.
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