Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 41 and p = 0.14. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = 5.74 ng = 35.26 Yes , p can v v be approximated by a normal random variable because both np and nq exceed What are the values of u, and o ? (Use 3 decimal places.) HI = X X (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? No v v , p cannot be approximated by a normal random variable because np does not exceed (c) Suppose n = 54 and p = 0.19. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = 10.26 ng = 43.74 Yes . p can be approximated by a normal random variable because | both np and nq exceed v What are the values of u, and o ? (Use 3 decimal places. ) X X