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The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more...

The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more than 10 hours is 0.76 and that it lives more than 20 hours is 0.3. The probability that among 300 bacteria more than 200 live longer than 10 hours can be computed as P(Z>a). What is the value of a? Please report your answer in 3 decimal places.

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