Probability-Statistics Flip a coin 4 times and record the number of times it came up heads and the number of times it showed tails. • Now pretend you have a family with four children, and the side of the coin represents the gender of the children. Tails represents males and heads represents females. Now record the number of males and females in your simulated family. If the coin lands on tails twice and heads twice, you have 2 boys and 2 girls. With these thoughts in mind: post the number of males and females in your simulated family (based on your coin toss). Then respond briefly to each of the following questions about your findings and your classmates' findings: • What was the probability of each of your coins turning up "male" or "female"? • Count the number of "males" and "females" in all of the posts that are up at the time of your post, and call this the "Class Sample." State the number of posts, the total number of tosses, and the total number of "males”"and "females" in your Class Sample. • Describe how close your sample was to the Class Sample. Explain how your sample of 4 tosses differed from the larger sample of your classmates' tosses. • Imagine that before you flipped the coin, you hypothesized that students in your Data Analysis and Presentation class had families with more boys than girls. Based on your "Class Sample," would you accept this hypothesis? State whether this is an alternative or a null hypothesis and explain. • Now consider a simple study you might like to implement. You might want to know, for example, if your friends and family have more cats than dogs. Briefly describe the information you want to find out and who would participate in your study. • Is the sample for your study a random sampling? Why or why not? • Without doing any calculations, discuss how you would determine if the Class Sample would represent the entire population of everyone at your school.