The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more than 10 hours is 0.74 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 13PTTS
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The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more
than 10 hours is 0.74 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.
Transcribed Image Text:The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more than 10 hours is 0.74 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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