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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 = 33 and p = 0.27. (For each answer, enter a number. Use 2 decimal places.) n-p = 8.91 n.q = X Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by -. ) 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 both nip and n.q exceed O n.p exceeds O n.p and n.q do not exceed O n.q does not 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.)(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 both n.p and n.q exceed O n.p exceeds O n.p and n.q do not exceed O n.q does not exceed O n.p does not exceed fourth blank (Enter an exact number.) (c) Suppose n = 50 and p = 0.21. (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 NoCan 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 can O cannot third blank O n.q exceeds O both nip and n.q exceed O n.p exceeds O n.p and n.q do not exceed O n.q does not 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.)

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