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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

CorrectAssume The Random Variable X Has A Binomial Distribution With The Given Probability Of Obtaining A Success Find The Following Probability Given The Numbe class=

Answer :

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

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

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