Part 1Suppose x is a random variable for which a Poisson probability distribution with lambdaλequals=1212 provides a good characterization. Complete parts a through c. Part 1a. Graph p(x) for xequals=0, 1, 2,..., 18. Choose the correct graph below. A. 01800.3xp(x) Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 18 in increments of 2 and a vertical axis labeled p(x) from 0 to 0.3 in intervals of 0.1. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.000; 1, 0.000; 2, 0.000; 3, 0.002; 4, 0.005; 5, 0.013; 6, 0.025; 7, 0.044; 8, 0.066; 9, 0.087; 10, 0.105; 11, 0.114; 12, 0.114; 13, 0.106; 14, 0.090; 15, 0.072; 16, 0.054; 17, 0.038. B. 01800.3xp(x) Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 18 in increments of 2 and a vertical axis labeled p(x) from 0 to 0.3 in intervals of 0.1. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.2; 1, 0.000; 2, 0.002; 3, 0.005; 4, 0.013; 5, 0.025; 6, 0.044; 7, 0.066; 8, 0.1044; 9, 0.087; 10, 0.105; 11, 0.114; 12, 0.114; 13, 0.106; 14, 0.090; 15, 0.072; 16, 0.108. C. 01800.3xp(x) Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 18 in increments of 2 and a vertical axis labeled p(x) from 0 to 0.3 in intervals of 0.1. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.002; 1, 0.005; 2, 0.0195; 3, 0.088; 4, 0.0528; 5, 0.066; 6, 0.087; 7, 0.114; 8, 0.114; 9, 0.114; 10, 0.106; 11, 0.106; 12, 0.090; 13, 0.072; 14, 0.054; 15, 0.054; 16, 0.038. D. 01800.3xp(x) Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 18 in increments of 2 and a vertical axis labeled p(x) from 0 to 0.3 in intervals of 0.1. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.002; 1, 0.005; 2, 0.013; 3, 0.025; 4, 0.044; 5, 0.066; 6, 0.087; 7, 0.105; 8, 0.114; 9, 0.114; 10, 0.106; 11, 0.090; 12, 0.072; 13, 0.054; 14, 0.038; 15, 0.026; 16, 0.026; 17, 0.010. Part 2b. Find muμ for x.muμequals=[input]enter your response here Part 3Find sigmaσ for x.sigmaσequals=[input]enter your response here (Round to the nearest thousandth as needed)Part 4Locate the interval muμplus or minus±2sigmaσ on the graph. Choose the correct graph below. A. 01020-0.200.2xymuμ2 sigma2σ2 sigma2σ Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 20 in increments of 2 and a vertical y-axis labeled from negative 0.2 to 0.25 in intervals of 0.05. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.000; 1, 0.000; 2, 0.000; 3, 0.002; 4, 0.005; 5, 0.013; 6, 0.025; 7, 0.044; 8, 0.066; 9, 0.087; 10, 0.105; 11, 0.114; 12, 0.114; 13, 0.106; 14, 0.090; 15, 0.072; 16, 0.054; 17, 0.038; 18, 0.026; 19, 0.016; 20, 0.010. A vertical line segment labeled mu is at 12. An interval below mu extends from the label a distance 2 sigma to the left at 5.1 and a second interval extends from the label a distance 2 sigma to the right at 18.9. All values are approximate. B. 01020-0.200.2xymuμ2 sigma2σ2 sigma2σ Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 20 in increments of 2 and a vertical y-axis labeled from negative 0.2 to 0.25 in intervals of 0.05. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.2; 1, 0.000; 2, 0.002; 3, 0.005; 4, 0.013; 5, 0.025; 6, 0.044; 7, 0.066; 8, 0.1044; 9, 0.087; 10, 0.105; 11, 0.114; 12, 0.114; 13, 0.106; 14, 0.090; 15, 0.072; 16, 0.108; 17, 0.038; 18, 0.026; 19, 0.016. A vertical line segment labeled mu is at 12. An interval below mu extends from the label a distance 2 sigma to the left at 8.5 and a second interval extends from the label a distance 2 sigma to the right at 8.5. All values are approximate. C. 01020-0.200.2xymuμ2 sigma2σ Edit coordinates (0,0) A probability distribution has a horizontal x-axis labeled from before 0 to after 20 in increments of 2 and a vertical y-axis labeled from negative 0.2 to 0.25 in intervals of 0.05. The probability distribution contains vertical bars of width 1, where two vertical bars are centered over each of the horizontal x-axis tick marks. The heights of the vertical bars are as follows, where the horizontal axis label is listed first and the height is listed second: 0, 0.002; 1, 0.005; 2, 0.013; 3, 0.025; 4, 0.044; 5, 0.066; 6, 0.087; 7, 0.044; 8, 0.114; 9, 0.114; 10, 0.106; 11, 0.090; 12, 0.072; 13, 0.054; 14, 0.026; 15, 0.026; 16, 0.010; 17, 0.010; 18, 0.006; 19, 0.006; 20, 0.003. A vertical line segment labeled mu is at 3.5. An interval below mu extends from the label a distance 2 sigma to the right at 10.4. All values are approximate. Part 5c. What is the probability that x will fall within the interval?[input]enter your response here (Round to the nearest thousandth as needed)