Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 31 and p = 0.25. (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 O can cannot third blank O n.p does not exceed O n.p and n.q do not exceed O n-p exceeds O n.q exceeds O n.q does not exceed O both nip and n.q exceed ourth blank (Enter an exact number.) What are the values of u, and a ? (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 _ be approximated by a normal random variable because first blank Yes No second blank O can O cannot third blank O n.p does not exceed O n.p and n.q do not exceed O n.p exceeds O n.q exceeds O n.q does not exceed O both nip and n-q exceed fourth blank (Enter an exact number.) (c) Suppose n = 43 and p = 0.32. (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 O can O cannot third blank O n.p does not exceed O n.p and n.q do not exceed O n.p exceeds O n-q exceeds O n.q does not exceed O both nip and n-q 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.)