Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 30 and p = 0.25. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np =7.5 nq = be approximated by a normal random variable because both np and nq exceed Yes p can What are the values of u, and o,? (Use 3 decimal places.) %3D (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? No p cannot be approximated by a normal random variable because np does not exceed (c) Suppose n = 51 and p = 0.24. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = nq = Yes p can be approximated by a normal random variable because both np and ng exceed What are the values of u, and o? (Use 3 decimal places.)

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