The binomial distribution is a discrete distribution used in statistics Statistics Statistics is the science behind identifying, collecting, organizing and summarizing, analyzing, interpreting, and finally, presenting such data, either qualitative or quantitative, which helps make better and effective decisions with relevance. Similarly, when tossing a coin, we can have only two outcomes: heads or tails.For instance, sick people may respond to a treatment or not. Hence, the name is ‘binomial.’ One of these outcomes is known as success, and the other as a failure. Each trial in a binomial experiment can result in just two possible outcomes.read more of the possible number of successful outcomes in a given number of trials where each has the same probability of success. In excel, it is a function to tabulate or graphically represent the recurrence of a particular value in a group or at an interval. It provides us with the frequency distribution Frequency Distribution Frequency distribution refers to the repetitiveness of a variable, i.e., the number of times a variable occurs in a data set.Each trial is independent, i.e., mutually exclusive of others.The probability of each outcome remains constant from trial to trial.X (a number that you have to find a probability for) = 9 or x = 10Ĭalculation of binomial distribution to find P(x=9) can be done as follows,Ĭalculation of binomial distribution to find P(x=10) can be done as follows, Thus, either 9 or 10 patients are successfully treated by it. We have to find the probability of 9 or more patients being successfully treated. Solution: We first have to find out what is n, p, and x. Find the probability of 9 or more patients being successfully treated by it. The probability of a patient being successfully treated by the drug is 0.8. Hospital management is excited about introducing a new drug for treating cancer patients as the chance of a person being successfully treated by it is very high. The probability of exactly 5 motor insurance owners being men is 0.14680064.
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