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# Suppose we have a binomial experiment in which success is defined to be a particular quality...

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 33 and p = 0.33. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.) np = nq = , p̂ be approximated by a normal random variable because . What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ = σp̂ = (b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not? , p̂ be approximated by a normal random variable because . (c) Suppose n = 65 and p = 0.19. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.) np = nq = , p̂ be approximated by a normal random variable because . What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ = σp̂ =

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