Problem 2 Perform a simulation of a following situation using R code: a group of 30 people toss a coin 15 times. Record the number of tails obtained by each person. To generate data you can use functions sample or runif with appropriate parameters (use help function to see available options, ie. ?sample or ?runif). To summarize obtained values you can use function table. After generating the data: Present the results of your experiment in the table and a graph. Define a model distribution your data should follow. Find estimates of the parameters of the model distribution from your data. Calculate the expected value and variance of a random variable and compare them with those obtained from the sample. Problem A group of 15 women and 5 men was randomly divided into two equal teams. What is the probability that there will be at most 1 man in one team? What kind of distribution is it and what are its parameters? Problem 2 Perform a simulation of a following situation using R code: a group of 30 people toss a coin 15 times. Record the number of tails obtained by each person. To generate data you can use functions sample or runif with appropriate parameters (use help function to see available options, ie. ?sample or ?runif). To summarize obtained values you can use function table. After generating the data: Present the results of your experiment in the table and a graph. Define a model distribution your data should follow. Find estimates of the parameters of the model distribution from your data. Calculate the expected value and variance of a random variable and compare them with those obtained from the sample. Problem A group of 15 women and 5 men was randomly divided into two equal teams. What is the probability that there will be at most 1 man in one team? What kind of distribution is it and what are its parameters