SOLUTION: One hundred numbers, uniformly distributed in the interval (0, 1), are generated by a computer. What is the probability that the largest number is at most 0.9?

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Question 1139742: One hundred numbers, uniformly distributed in the interval (0, 1), are
generated by a computer. What is the probability that the largest number is at
most 0.9?

Answer by ikleyn(52831) About Me  (Show Source):
You can put this solution on YOUR website!
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It means that each and every of the 100 generated numbers is less or equal to 0.9.


The probability for every single such a number to be less or equal to 0.9 is exactly 0.9, due to uniform distribution.


Hence, the probability under the question is  0.9%5E100 = 2.65614%2A10%5E%28-5%29 = 0.0000265614 = 0.00265614%.    ANSWER

Solved.