25% of all students enrolled in high school BTHS are taking Biology. 30 students are chosen at random. a) Find the probability that exactly 7 students out of the 30 chosen are taking Biology. b) What is the probability that fewer than 5 students out of 30 who are selected are taking Biology? c) Calculate the mean and standard deviation of this binomial distribution.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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25% of all students enrolled in high school BTHS are taking Biology. 30 students
are chosen at random.
a) Find the probability that exactly 7 students out of the 30 chosen are taking
Biology.
b) What is the probability that fewer than 5 students out of 30 who are
selected are taking Biology?
c) Calculate the mean and standard deviation of this binomial distribution.

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