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Soloha48 [4]
3 years ago
6

Is this a function? I think it is not but still doesn't hurt to check with others. ​

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

It is not a function because for x= 0, there are 3 values of y

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Surface area of a cylinder with a diameter of 36 and height of 27
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4 years ago
Ests show that the first photo detector isacceptable with probability 3/5. When the first photo detector is acceptable, the seco
vredina [299]

Answer:

The probability that exactly one photo detector of a pair is acceptable is \frac{19}{25}.

Step-by-step explanation:

Let the A = first photo detector is acceptable and B = second photo detector is acceptable .

The information provided is:

P(A) = \frac{3}{5} \\P(B|A)=\frac{4}{5}\\ P(B|A^{c})=\frac{2}{5}

  • The law of total probability states that:

         P(X)=P(X|Y)P(Y)+P(X|Y^{c})P(Y^{c})\\

Using the law of total probability determine the probability of B as follows:

P(B)=P(B|A)P(A)+P(B|A^{c})P(A^{c})\\=(\frac{4}{5}\times\frac{3}{5}  )+(\frac{2}{5}(1- \frac{3}{5}))\\=\frac{12}{25}+\frac{4}{25}\\  =\frac{16}{25}

  • The addition rule of probability is:

        P(Y\cup X) = P(Y) + P(X) - P(Y\cap X)\\

Compute the probability that exactly one photo detector of a pair is acceptable using the addition rule of probability as follows:

P(A\cup B) = P(A) + P(B) - P(A\cap B)\\=P(A) + P(B) - P(B|A)P(A)\\=\frac{3}{5} +\frac{16}{25} -[\frac{4}{5}\times\frac{3}{5}]  \\=\frac{3}{5} +\frac{16}{25}-\frac{12}{25}\\=\frac{15+16-12}{25}\\= \frac{19}{25}

Thus, the probability that exactly one photo detector of a pair is acceptable is \frac{19}{25}.

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Answer:

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Step-by-step explanation:

The negative sign was simply moved to either the numerator or denominator. Either way the number is still a negative one half.

6 0
3 years ago
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The final answer should be -49/168.
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