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3 years ago

3/4(8p+12)+3/8(8-16p)

Mathematics

1 answer:

nikitadnepr [17]3 years ago

4 0

3/4(8p+12)+3/8(8-16p)
6p+9+3-6p
6p-6p=0
9+3=12
so p=12

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Step-by-step explanation:

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In which

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e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

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3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

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So $\mu = 5.17$

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Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

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In which

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$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

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