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11 people run in a race , Each one has a 30% chance of success ....

11 people run in a race , Each one has a 30% chance of success . What is the probability that

1) exactly 4 persons succeed

2) at most 1 person success

Math   Statistics-And-Probability   
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Answer #1

Here we can easily find the answer by using binomial distribution.

As we know that if

Then

here in our question n = 11, p = 0.3

1)

Here we need to find P(X = 4). which can be found by

2)

Here we need to find P(X= 0) + P(X = 1)

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