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Normal Approximation to the Binomial Distribution Question

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Wize University Statistics Textbook > Continuous Probability Distributions

Normal Approximation to Binomial

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Charles did not study for his exam, which has 40 multiple-choice questions. Each question has four answer choices – one being correct. He needs 50% to pass. If he randomly fills out the bubble sheet, what is the probability that he will pass the exam?


a) Normal Method:


b) Binomial method:

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Normal Approximation to the Binomial Distribution Question
Half of the population can swim. There is a 1:3 odd that more than p^\hat{p}% of my sample of 50 can swim. Find p^.\hat{p}.
Normal Approximation and Binomial
About 70% of people have tried online dating.
a) If we randomly select 100 people, can we approximate a normal distribution?
b) What is the probability that at least 80 of the 100 have tried online dating?