# Answer to Question #91523 in MathCAD for matimu

Question #91523

the probability that a student is accepted to a prestigious college is 0.3. if 5 students from the same school apply,what is the probability that at most 2 are accepted?

Expert's answer

The number of successes ** k** in a series of

**identical independent tests with the probability of success**

*n***in each trial has a binomial distribution. The probability function is given by the formula:**

*p*The probability that at most 2 are accepted (n=5, p=0.3):

@$P(k\le2)=P(0)+P(1)+P(2)@$Answer: 83.69%

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