Fill in the blanks then, choose the property of addition you used

An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

neonofarm [45]

Answer:

There is a 33.10% probability that there is at least one defective integrated circuit.

Step-by-step explanation:

For either integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

The electonic product contains 40 integrated circuits, so $n = 40$ .

The probability that any integrated circuit is defective is 0.01, so $\pi = 0.01$

What is the probability that there is at least one defective integrated circuit?

Either there is at least one defective integrated circuit, that is probability $P(X > 0)$ , or there are no defective integrated circuits, that is probability $P(X = 0)$ . The sum of these probabilities is decimal 1. We want to find $P(X>0)$ .

$P(X > 0) + P(X = 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{40,0}.(0.01)^{0}.(0.99)^{40} = 0.6690$

$P(X > 0) = 1 - P(X = 0) = 1 - 0.6690 = 0.3310$

There is a 33.10% probability that there is at least one defective integrated circuit.

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3 years ago

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Sanford can assemble a computer in 60 minutes. Colleen can assemble a computer in 40 minutes. If they work together, how many mi

zmey [24]

$\dfrac{1}{60}+\dfrac{1}{40}=\dfrac{1}{x}\\
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3 years ago

Yes I’m very aware of my dumbness but can someone please help with A and B plzzzzz

astraxan [27]

The Answer to A is Square.

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Whats the definition of the a square root ?

Andreyy89

Its like abundance (quantity ) of which is called amplitude (quantity) of the particular square

Good Day / Night

☺

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3 years ago

Please HELP ME i will give BRAINLIEST

Alexxx [7]

Answer:

No, they are not scaled copy's.

Step-by-step explanation:

So we can flip figure F to where it is facing the direction that figure A is.

First we do 105 divided by 35, the corresponding sides, and get 3. If you do 96 divide by 19, you get 5.052631579. You are free to use my explanation word for word as your reason why.

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3 years ago