In summary, a binomial distribution is a probability distribution that models the likelihood of a specific number of successes in a fixed number of independent trials. It is different from other distributions in that it focuses on the number of successes rather than a specific outcome, and has only two parameters. The assumptions for a binomial distribution include a fixed number of trials, independent trials, and two possible outcomes with a constant probability of success. It is commonly used in various fields, such as statistics, finance, and marketing. As the number of trials increases, it approaches a normal distribution, making it easier to calculate and approximate.
#1
kelvin macks
60
0
please refer to the second line of solution, since we only concerned about the probability of getting number (5) , then why can't I just just say P=(5/6)^5 , why should I times =(5/6)^5 with (1/6)^2 ?
(5/6)^5*(1/6)^2 is the probability to get five non-fives followed by two fives, when throwing the die seven times. (5/6)^5 is just the probabability to get non-fives the five first times, regardless of if you get any more fives the two last times.
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