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n a big university with over 10,000 students, 20% of all students work full time. A random sample of 100 students is selected from the university. Let X denote the number of students who work full time in the sample.  b)  Find ?(? = 20) c)  Find ?(? ≤ 20) d)  Find ?(? ≥ 20)   Can you explain how you got them using work?

n a big university with over 10,000 students, 20% of all students work full time. A random sample of 100 students is selected from the university. Let X denote the number of students who work full time in the sample.  b)  Find ?(? = 20) c)  Find ?(? ≤ 20) d)  Find ?(? ≥ 20)   Can you explain how you got them using work?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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  1. n a big university with over 10,000 students, 20% of all students work full time. A random sample of 100

    students is selected from the university. Let X denote the number of students who work full time in the sample. 

    1. b)  Find ?(? = 20)

    2. c)  Find ?(? ≤ 20)

    3. d)  Find ?(? ≥ 20)

       

      Can you explain how you got them using work? 

Expert Solution
Step 1

Given :

n = 100

p = 0.20

q = 1 - p

   = 1 - 0.20 = 0.80

 

Apply binomial distribution :

P(X=x) = Cxn px qn-x

 

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