SOLUTION: It is found that 20% of the students failed an IELTS test. suppose 25 students are randomly selected from the total pool. Answer the following question a) what is the probability

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Question 494106: It is found that 20% of the students failed an IELTS test. suppose 25 students are randomly selected from the total pool. Answer the following question
a) what is the probability that exactly 4 students failed the test?
b) what is the probability that more than 4 students failed the test?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
It is found that 20% of the students failed an IELTS test. suppose 25 students are randomly selected from the total pool. Answer the following question
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Binomial Problem with n = 25 and p = 0.20
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a) what is the probability that exactly 4 students failed the test?
P(x=4) = 25C4(0.2)^4*(0.8)^21 = 0.1867
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b) what is the probability that more than 4 students failed the test?
P(5<= x <= 25) = 1 - P(0<= x <=4) = 1-0.4207 = 0.5793
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Cheers,
Stan H.
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