MATH 220 Lecture Notes - Lecture 5: Simple Random Sample, Digital Video Recorder, Standard Deviation
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A random variable that represents the number of successes in a series of trials has a probability distribution called the binomial distribution. The conditions are: a fixed number of trials are conducted, there are two possible outcomes for each trial. One is labeled success and the other is labeled. Failure. : the probability of success is the same on each trial, the trials are independent. This means that the outcome of one trial does not affect the outcomes of the other trials: the random variable x represents the number of successes that occur. Let x be the number of times the coin lands heads. Each toss of the coin is a trial. There are two possible outcomes, heads and tails. Since x represents the number of heads, heads counts as a success. The trials are independent, because the outcome of one coin toss does not affect the other tosses.
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