Question

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 43% 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. A. No, because nq 5 B. No, because np5 O C. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.)

Answer 1

Solution let, x- Mumber of adults usel multivitemin in the past 12 months meng o adults P be the prepartion of edlults useel a multiviteumin in the past 12 months P- 0.42 (or 43-) CA Hes adults XSBCN-4, P0.43 Also axa43-1 2 210 hp- Satisfy this 22.8> 10 condition normal dishabution to approximarte the find mean P SD binomi ol dishibuion for 4o x0.43 17-20 oxo43x0.sT Mean g.80 VCX2 3.13 and the stuled Yes, the mean is 2.12 -20 deniation is iS Conect