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GenaCL600
3 months ago
11

Suppose that, for every lot of 100 computer chips a company produces, an average of 1.4 are defective. Another company buys many

lots of these chips at a time, from which one lot is selected randomly and tested for defects. If the tested lot contains more than three defects, the buyer will reject all the lots sent in that batch. What is the probability that the buyer will accept the lots?Assume that the defects per lot are Poisson distributed.Round your answer to 4 decimal places.The tolerance is +/- 0.0005.
Mathematics
1 answer:
babunello [11.8K]3 months ago
7 0

Answer:

0.1665

Step-by-step explanation:

It is known that there is an average of 1.4 defects for every 100 computer chips produced.

Should a tested batch reveal more than three defects, the entire shipment associated with that batch will be rejected by the buyer.

Let X represent the count of defective pieces in a sample of 100 chips.

X follows a Poisson distribution with a mean of 1.4.

Therefore, the probability for the buyer to accept the shipments is calculated as:

=P(X\geq 3)\\\\=0.16651

The final answer is 0.1665

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Write a rule that would allow you to test whether (x,y) is on line ℓ.
lawyer [12517]

Response:

We define a line L.

In a two-dimensional space, a line can be expressed as follows:

y = a*x + b

where 'a' denotes the slope and 'b' represents the y-intercept.

To determine the slope for a line passing through points (x1, y1) and (x2, y2), the formula is:

a = (y2 - y1)/(x2 - x1).

Using one of these points will help to find the value of 'b'.

Once we have the line's equation:

y = a*x + b

we can substitute in a specific point (x, y)

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6 0
2 months ago
En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están nume
lawyer [12517]

Respuesta:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Explicación paso a paso:

Para identificar las brocas existen dos aspectos a considerar:

1.- Las fracciones que comparten el mismo denominador aumentan en orden ascendente a medida que los numeradores incrementan, lo que significa que entre

9/16   3/16    7/16     5/16   11/16    el orden sería (de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Fracciones con diferentes denominadores pueden convertirse a un denominador común /16 multiplicando la fracción, por ejemplo

1/4   =  1*4/4*4   =  4/16

Aplicando este método, todas las fracciones se transforman al formato mencionado previamente y se organizan

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Por lo tanto, hay diez brocas, comenzando con 1/16 hasta la número 12 que es 12/16

Finalmente, el orden sería:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

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8 0
3 months ago
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Thus, a quarter is thicker than a dollar by 6.57 x 10^-2.

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2 months ago
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