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kutie543
24.07.2019 •
Mathematics
What frequency does 125/232 represent
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Ответ:
Probability that the fifth ball selected is red = 0.705
Step-by-step explanation:
Let
⇒
∈ { 0, 1, 2 }
Then,
P =![\left[\begin{array}{ccc}0.8&0.2&0\\0.1&0.8&0.1\\0&0.2&0.8\end{array}\right]](/tpl/images/1121/3460/cc6d4.png)
⇒![P^{4} = \left[\begin{array}{ccc}0.487&0.435&0.776\\0.218&0.565&0.218\\0.776&0.435&0.487\end{array}\right]](/tpl/images/1121/3460/87dcf.png)
Now,
P(5th ball is red |
= 2 ) = 0.
+ ![\frac{1}{2}P^{4} _{21} + 1. P^{4} _{22}](/tpl/images/1121/3460/3d44c.png)
=![\frac{1}{2} (0.4352) + 1. (0.4872) = 0.2176 + 0.4872](/tpl/images/1121/3460/a2ee5.png)
= 0.705
∴ we get
Probability that the fifth ball selected is red = 0.705