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Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n =

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Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 28 and p = 0.40. (For each answer, enter a number. Use 2 decimal places.) n. P = n. q = Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by -. ) -, P be approximated by a normal random variable because first blank O Yes O No second blank O can O cannot third blank O n.q exceeds O n.p and n.q do not exceed O n.p exceeds O n.q does not exceed O both n.p and n.q exceed O n.p does not exceed fourth blank (Enter an exact number.) What are the values of M. and o ? (For each answer, enter a number. Use 3 decimal places.) p(b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by -. ) , P be approximated by a normal random variable because first blank O Yes O No second blank O can O cannot third blank O n.q exceeds O n.p and n.q do not exceed O n.p exceeds O n.q does not exceed O both n.p and n.q exceed O n.p does not exceed fourth blank (Enter an exact number.) (c) Suppose n = 63 and p = 0.37. (For each answer, enter a number. Use 2 decimal places.) n. P = n.q =Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by -.) p . be approximated by a normal random variable because first blank Yes O No second blank can O cannot third blank O n.q exceeds O n.p and n.q do not exceed O n.p exceeds O n.q does not exceed O both nip and n.q exceed O n.p does not exceed fourth blank (Enter an exact number.) What are the values of u, and o ? (For each answer, enter a number. Use 3 decimal places.) p

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