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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 23PFA
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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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