Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 36 and p = 0.36. (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 be approximated by a normal random variable because first blank Yes NO second blank O can O cannot third blank O n.q exceeds O n.p exceeds O nip and n-q do not exceed O both nip and n.q exceed O n.p does not exceed O n.q 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 can O cannot third blank On.q exceeds O n.p exceeds O n.p and n.q do not exceed O both n.p and n-q exceed O n.p does not exceed O n.q does not exceed fourth blank (Enter an exact number.) (c) Suppose n = 63 and p = 0.36. (For each answer, enter a number. Use 2 decimal places.) n.p n.q =Can we approximate :5 by a normal distribution? Why? [Fill in the blank. There are four answer blanks. A blank is represented by .} , 33 be approximated by a normal random variable because first blank 0 Yes ONo second blank 0 can 0 cannot third blank 0 n-q exceeds 0 n-p exceeds 0 n-p and n-q do not exceed 0 both n-p and 11-1; exceed 0 n-p does not exceed 0 n-q does not exceed fourth blank [Enter an exact number.) :I What are the values of}: . and a\"? (For each answer, enter a number. Use 3 decimal places.) :1 p