Question

CorrectAssume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials andthe probability of obtaining a success. Round your answer to four decimal places.P(X2), n = 3, p = 0.8AnswerHow to enter your answer (opens in new window)TablesKeypadKeyboard Shortcuts

Answer 1

In this problem we have

n=3

p=0.8 ------> probability of obtaining a success

so

q=1-p=1-0.8=0.2 -------> probability of fail

Remember that

If n=3

then

P(x>2) is the same that P(x=3)

therefore

`\begin{gathered} P(x>2)=(3!)/(3!(3-3)!)*0.8^3*0.2^0 \\ \\ P(x>2)=0.5120 \end{gathered}`