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Experiment: Repeated tosses of a randomly selected coin A coin is selected randomly from a pair {9'be of coins and then tossed repeatedly n times. Check the tosses for independence. You are supposed to do the following in order to check the independence of tosses. Use correct mathematical notation and i) Write the individual base sample space for sequential experiments. Write the overall sample space as a product space if possible, explain if otherwise. ii) Assume and write a base probability distribution for the D. iii) Similarly, assume and write a base probability distribution for coin or and coin b separately. iv) Write the probability measure of the sequential experiment. v) Clearly mention if the sequential experiments are identical or not, and independent or not. Explain your answer. vi) Given a coin, are coin tosses independent? Explain. vii) Make a tree diagram w.r.t. outcomes (i.e. events of each sequential experiments) and assign probabilities on branches using correct mathematical notation