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It is estimated that 40% of students have bicycle. You randomly selects 50 different students across...

It is estimated that 40% of students have bicycle. You randomly selects 50 different students across campus if they own a bicycle. Let X be the number of student that own a bicycle.
(a) Can we approximate X as a normal distribution? If so, explain why and determine the Model.

(b) Calculate the probability that 23 or more students out of 50 have a bicycle using the Normal Approximation.

Math   Statistics-And-Probability   
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Answer #1

a) yes we can approximate binomial distribution into normal distribution if these conditions are satisfied

  1. trials are fixed here
  2. probability is fixed
  3. each trial is independent

so we can approximate it by normal distribution

b)

please like ??

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