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Semenov [28]
2 years ago
15

A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition ac

curacy is 92% and trials are assumed to be independent.
(a) If the research team continues to run laboratory tests, what is the mean number of trials until failure?
(b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places.
(c) To improve the recognition algorithm, a chief engineer decides to collect 6 failures. How many trials are expected to be needed? Round your answer to one decimal place
Mathematics
1 answer:
matrenka [14]2 years ago
5 0

Answer:

a) mean number of trails =1/p=1/(1-0.92)=12.5

b)

probability=(0.92)9*0.08=0.6624

c)

expected number of trails required =6/0.08=75

Step-by-step explanation:

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Answer:

he can expect to lose 0.5$

Step-by-step explanation:

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The probability of obtaining any of these numbers is:

p=\frac{1}{6}

The gain when obtaining an even number is twice the number.

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So the expected gain is:

E=-9*\frac{1}{6}-9*\frac{1}{6}-9*\frac{1}{6} + 4*\frac{1}{6} + 8*\frac{1}{6} + 12*\frac{1}{6}\\\\E =-27*\frac{1}{6} + 24*\frac{1}{6}\\\\E=-3*\frac{1}{6}\\\\E=-$0.5

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2 years ago
Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee. His suitcase
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20 kilograms is 200 hectograms
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Answer:

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Step-by-step explanation:

let the side of the cube be of one unit.

Then, the area of the base is equal to 16 connecting cubes

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Similarly, width of the base of rectangular prism = 4 units

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A steel plant has two sources of ore, source A and source B. In order to keep the plant running, at least three tons of ore must
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Step-by-step explanation:

The model could be explained as follows ;

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Therefore, model is expressed as :

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Kindly view detailed sketch and explanation in the picture attached.

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