Question

This Question: 1 pt 6 of 14 (0 complete) This Quiz: 14 pts possi A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can find the mean and standard deviation. If you cannot, explain why. A survey of adults found that 64% have used a multivitamin in the past 12 months. You randomly select 40 adults and ask them if they have used a multivitamin in the past 12 months Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. No, because ng <5. OB. No, because np <5. O C. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.) Click to select and enter your answers 8:51 PM 11/10/2015

Answer 1

Solution:

A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why A survey of adults found that 64% have used a multivitamin in the past 12 months. You randomly select 40 adults and ask them if they have used a multivitamin in the past 12 months. Select the correct answer below and, if necessary, fill in the answer boxes within your choice. np= 40x0.64=25.6> 5 O A. O B. No, because nq < 5. nq = 40x (1-0.64) 14.4>5 No, because np < 5. Therefore, we can use the normal distribution to approximate the 25.6 and the standard deviation is 3.04 C. Yes, the mean is binomial distribution (Round to two decimal places as needed) Mean np 40x0.64 = 25.6 Stan dard deviation fnpq = ^/40x0.64(1- 0.64) =3.04