Question 1140530: Suppose that 19% of brand A bicycle tubes go flat after 1 year, and 33% of brand B bicycle tubes go flat after 1 year. Find the probabilities of the following event occurring.
a) If you check 24 brand A tubes after one year, what is the probability of 10 NOT going flat?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! 19% of brand A tires go flat after 1 year means that 100 - 19 = 81% do not go flat after 1 year
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Note 81% = 0.81
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use the binomial probability distribution
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Probability (P) (k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)
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p = 0.81, n = 24, k = 10
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P (10 tubes not going flat in 1 year out of 24 tubes) = 24C10 * (0.81)^10 * (1-0.81)^(24-10) = 0.00001905175
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