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# Binomial probability

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If the parents have 5 children, the number who have type O blood is a random variable X that has the binomial distribution with n=5 and p=0.25

a) What are the possible values of X?
b) Find the probability of each value of X. Draw a histogram to display this distribution. (Because probabilities are long-run proportions, a histogram with the probabilities as the heights of the bars shows what the distribution of X would be in very many repetitions.)

##### Solution Summary

If the parents have 5 children, the number who have type O blood is a random variable X that has the binomial distribution with n=5 and p=0.25

a) What are the possible values of X?
b) Find the probability of each value of X. Draw a histogram to display this distribution. (Because probabilities are long-run proportions, a histogram with the probabilities as the heights of the bars shows what the distribution of X would be in very many repetitions.)

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In this case, the event has two mutually exclusive possible outcomes (to have O blood or Not), then the binomial distribution can be used to determine the probability of obtaining exactly r successes in the N outcomes. The binomial probability for obtaining r successes in N trials is: ...

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