27
Oct
Probability Distribution Coin Toss. Number of possible outcomes 2. Find the distribution for Y. Probability is the measurement of chances the likelihood that an event will occur. For example if we are getting 75 heads out of 100 times then the outcome would be 075 here.
Binomial Random Distribution based on a Fair Coin Suppose we have a fair coin so the heads-on probability is 05 and we flip it 3 times. X can take values 0 No tail or 1 One tail or 2 two tails Probability mass function is. Most coins have probabilities that are nearly equal to. This is equivalent to tossing the same coin n times. Y sum_i1n X_i sim Binnp This was a pretty straightforward example. In this experiment each coin toss is an independent event because the outcome of the one trial does not affect the outcome of the subsequent trials.
Find the probability distribution of X.
The uniform distribution isnt consistent with this. What is consistent is a Beta22. If a coin is tossed two times. So if an event is unlikely to occur its probability is 0. It should be noted that the coin is balanced. The probability of the two are equal.