SOLUTION: A student is known to arrive late for a class 40% of the time. If the class meets five times each week find the probability that the student is late for at least three classes in a

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Question 665067: A student is known to arrive late for a class 40% of the time. If the class meets five times each week find the probability that the student is late for at least three classes in a given week?

Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A student is known to arrive late for a class 40% of the time. If the class meets five times each week find the probability that the student is late for at least three classes in a given week?
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Binomial Problem with n = 5 ; p(late) = 0.4
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P(3<= x <=5)
= 1 - P(0<= x <=2)
= 1 - binomcdf(5,0.4,2)
= 1 - 0.8626
= 0.3174
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Cheers,
Stan H.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
A student is known to arrive late for a class 40% of the time.
If the class meets five times each week find the P(x ≥ 3)
Bionomial Probability: p(late) = .40 and q = .60 , n = 5
P(x ≥ 3) = P(x=3) + P(x=4)+ P(x=5)
= 5C3(.40)^2(.60)^2 + 5C4(.40)^4(.60)^1 + 5C5(.40)^5
Using TI function: P(x ≥ 3) = 1 – P(x ≤ 2) = 1 - binomcdf(5, .40, 2)
or an Excel function can be used as well: 1-BINOMDIST(2,5,0.40,TRUE)
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