Where appropriate, work the following binomial distribution problems using the normal curve. Also, use Table A.2 to find the answers by using the binomial distribution and compare the answers obtained by the two methods.

Appendix A Statistical Tables

*(Round the values of to 3 decimal places, e.g. 0.757. Round the values of z to 2 decimal places, e.g. 0.75. Round your answers to 4 decimal places, e.g. 0.7596 when calculating using normal curve. Round your answers to 3 decimal places, e.g. 0.759 when calculating using Table A.2.) (a) P(x = 8| n = 25and p = 0.40) = ? Using normal curve: 0.3830.11700.6170The normal curve is not a good approximation to this problem.0.5000 Using Table A.2: (b) P(x 12| n = 25and p = 0.30) = ? Using normal curve: The normal curve is not a good approximation to this problem.0.4570.54010.50000.0401 Using Table A.2: (c) P(x = 9| n = 12and p = 0.50) = ? Using normal curve: The normal curve is not a good approximation to this problem.0.50000.44680.55320.0532 Using Table A.2: (d) P(x < 3| n = 10and p = 0.70) = ? Using normal curve: 0.5010.0010.4990.5000The normal curve is not a good approximation to this problem. Using Table A.2: