Question

In: Statistics and Probability

What is the probability that every student in a class of 20 will pass the quiz?

What is the probability that every student in a class of 20 will pass the quiz?

Solutions

Expert Solution

Assume that the probability for a student to pass and fail in the quiz are equal (equal chance to pass and fail).

Therefor probability for a student to pass the quiz = probability for a student to fail the quiz = 1/2 = 0.5

Let X = number of students who pass the quiz.

n = total number of students = 20

p = probability of a student to pass the quiz = 0.5

q = 1-p = 0.5

Here X follows Binomial distribution with probability mass function,

probability that every student will pass the quiz =  

  

  

  

OR   

OR       

probability that every student in a class of 20 will pass the quiz

   

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orchestra answered 1 year ago
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