b. This time. let the simulation run until about 1,000 balls have been released -that is, until / = 1.000. Set the simulation to these conditions: continuous rows = 26 p =0.5 Histogram display. auto-scale The theoretical mean (@) and the theoretical standard deviation (@) are shown in blue on the plinko board. They are derived from theoretical probabilities for normal distributions. The sample mean (x ;) and the sample standard deviation (s) are shown in red on the plinko board. These values come from direct calculations based on your specific results for this sample of 1,000 ball drops. What are the values displayed on the plinko board for the theoretical mean (@) and the sample mean (x. ;)? What are the values displayed on the plinko board for the theoretical standard deviation (7) and sample standard deviation (s)? Type your response here: C. How close do the sample values come to the theoretical values? Does this indicate that the theoretical values could reasonably be used to predict future samples? Type your response here: d What kind of distribution does the simulation give you? Describe the shape of the distribution obtained in the previous question with reference to its symmetry. Type your response here: Based on your knowledge of the behavior of a normal distribution, what percentage of sample values should lie within about one standard deviation on either side of the center? What percentage of sample values should lie within about two standard deviations on either side of the center