Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 45 and p = 0.35. (For each answer, enter a number. Use 2 decimal places.) n.p = 15.75 n.q = 29.25 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 can O cannot third blank O both nip and n.q exceed O n.p exceeds O n.q 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.) 10 X What are the values of u and o ? (For each answer, enter a number. Use 3 decimal places.) M = 15.75 X = 3.200 X(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 cannot third blank O both n.p and n.q exceed O n.p exceeds O n.q 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.) 10 X (c) Suppose n = 59 and p = 0.23. (For each answer, enter a number. Use 2 decimal places.) n.p = 13.57 n.q = 45.43Can 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 both nip and n.q exceed O n.p exceeds O n.q 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.) 10 X What are the values of u, and o ? (For each answer, enter a number. Use 3 decimal places.) H = 13.57 = .23 D X