# TV fail

The TV has after 10,000 hours average 35 failures. Determine the probability of TV failure after 400 hours of operation.

Correct result:

p =  75.4 %

#### Solution:

$p_{1}=35/10000=\dfrac{ 7 }{ 2000 }=0.0035 \ \\ p_{2}=1 - p_{1}=1 - 0.0035=0.9965 \ \\ \ \\ p=100 \cdot \ (1 -p_{2}^{ 400 })=100 \cdot \ (1 -0.9965^{ 400 })=75.4 \%$

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Math student
Could have explained it in detail

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