Question: Probability And Statistics (Demonstrating The Law Of Large Numbers)

(a)Assuming the probability of obtaining heads in a coin toss is 0.5, compare the probability of obtaining heads in 5 out of 10 tosses with the probability of obtaining heads in 50 out of 100 tosses.

(b) For a set of 10 tosses and for a set of 100 tosses, calculate the probaility that the fraction of heads will be between 0.445 and 0.555.

I'm very rusty on probability and statistics. My guess for part a is that for the case of obtaining heads in 50 out of 100 tosses that probability will be closer to 0.5 than the probability for obtaining heads for 5 tosses out of 10.

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