Answer to Question #4299 in Statistics and Probability for Sussy

Question #4299
In an experiment involving a toxic substance, the probability that a white mouse will be alive for 10 hours is 7/10 , and the probability that a black mouse will be alive for 10 hours is 9/10. Find the probability that, at the of 10 hours:
A) At least ONE mouse will be alive
1
Expert's answer
2011-10-07T12:26:12-0400
A: white mouse will be alive
B: black mouse will be alive
A and B are independent, hence
<img style="width: 128px; height: 41px;" src="data:image/png;base64,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" alt="">
<img style="width: 442px; height: 40px;" src="data:image/png;base64,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" alt="">

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
APPROVED BY CLIENTS