Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 42 and p = 0.14. (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 O Yes NO second blank can O cannot third blank O n.q does not exceed O n.p and n.q do not exceed O n.q exceeds O n.p exceeds O n.p does not exceed both n.p 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.) H. = (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 O Yes O No second blank O can O cannot third blank O n.q does not exceed O n.p and n.q do not exceed O n.q exceeds O n.p exceeds O n.p does not exceed O both n.p and n.q exceed fourth blank (Enter an exact number.) (c) Suppose n = 50 and p = 0.38. (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 O Yes O No second blank O can O cannot third blank O n.q does not exceed O nip and n.q do not exceed O n.q exceeds O n.p exceeds O n.p does not exceed O both n.p 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.)