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Fynjy0 [20]
3 years ago
15

Photo and Video Sharing. Photos and videos have become an important part of the online social experience, with more than half of

Internet users posting photos or videos online that they have taken themselves. Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves. Pew Research Center finds that P(A)=0.52,P(b)=0.26,, and P(AorB)=0.54. What is the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves? (Round your answer to three decimal places.)
Mathematics
1 answer:
love history [14]3 years ago
5 0

Answer: 0.923

Step-by-step explanation:

Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves.

Pew Research Center finds that

P(A)=0.52    P(b)=0.26,  and P(A or B)=0.54.

To find : P(A|B)

Since , \text{P(A or B)=P(A+P(B)-P(A and B)}

i.e. \text{P(A and B)=P(A)+P(B)-P(A or B)}

\text{P(A and B)=}0.52+0.26-0.54=0.24

Now, using conditional probability formula ,

P(A|B)=\dfrac{\text{P(A and B)}}{\text{P(B)}}\\\\=\dfrac{0.24}{0.26}=0.923076923077\approx0.923

Hence, the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves = 0.923

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