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3 years ago

Maxim/Minimum Extrema derivatives

1 answer:

8 0

so every time the phrase 'minimum' or 'maximum' show up in a problem with an equation, it means we need to do the math operation of taking the derivative. make senes?can you find the derivative of the equation given?

4.1billion barrels in 2005

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Classify the following triangle.

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Isosceles obtuse Triangle

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Solve for d.<br><br> 5 = 3d + 2

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5=3d+2

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A farmer has a rectangle field with a perimeter of 5.4 miles and a length of 2.3 miles. Find the width of the field. The width o

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Step-by-step explanation:

perimeter = 2*(length + width)

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3 years ago

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3 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

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Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

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

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

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2 years ago