Assume that 11% of Douglas College students are left-handed. Suppose you randomly select 100 students, and let X= the number of left-handed students in the sample. (Douglas has about 25,000 students, so this sample is less than 5% of the population. We can, therefore, assume that each student in the sample is independent of the others, which makes X a binomial random variable.) The expectation is E[X]= 11, but that does not imply that X=11 is highly likely. Calculate P(X= 11). State your answer as a decimal rounded to four decimal %3D places.

Assume that 11% of Douglas College students are left-handed. Suppose you randomly select 100 students, and let X= the number of left-handed students in the sample. (Douglas has about 25,000 students, so this sample is less than 5% of the population. We can, therefore, assume that each student in the sample is independent of the others, which makes X a binomial random variable.) The expectation is E[X]= 11, but that does not imply that X=11 is highly likely. Calculate P(X= 11). State your answer as a decimal rounded to four decimal %3D places.

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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Question

Assume that 11% of Douglas College students are left-handed. Suppose you randomly select 100 students, and let X= the number of left-handed students in the
sample. (Douglas has about 25,000 students, so this sample is less than 5% of the population. We can, therefore, assume that each student in the sample is
independent of the others, which makes X a binomial random variable.)
The expectation is E[X]= 11, but that does not imply that X=11 is highly likely. Calculate P(X= 11). State your answer as a decimal rounded to four decimal
%3D
places.

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