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Virty [35]
4 years ago
9

A magnetic tape storing information in binary form has been corrupted, so it can only be readwith bit errors. The probability th

at you correctly detect a 0 is 0.9, while the probability thatyou correctly detect a 1 is 0.85. Each digit is a 1 or a 0 with equal probability. Given that youread a 0, what is the probability that this is a correct reading?
Mathematics
1 answer:
Natali [406]4 years ago
8 0

Answer:

  6/7 ≈ 85.7%

Step-by-step explanation:

The probability that a 0 was transmitted and received is 0.5·0.9 = 0.45.

The probability that a 1 was transmitted and a 0 received is 0.5·0.15 = 0.075.

Then the probability that a 0 was received is 0.45 +0.075 = 0.525.

The probability of interest is ...

  p(0 transmitted | 0 received) = p(0 transmitted & received)/p(0 received)

  = 0.45/0.525 = 6/7 ≈ 85.7%

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A three character computer code consist of two letters. what is the probability that the code will be ABA? What is the probabili
Zanzabum
Well if you write out all the possibilities, it would look like this: 
AAB
ABB
ABA
BBA
BAB
BAA 
^ That is just assuming that you can't do BBB & AAA. 

With that, the probability of getting ABA is 1/6 because there are 6 possibilities that the code could be but you are only looking for 1 of those. 

Now if you can use BBB & AAA, it would be 1/8. 
5 0
4 years ago
Anyone????????????????????
ser-zykov [4K]

Answer:

4

Step-by-step explanation:

You can use the Pythagorean theorem to find the length of the unknown side.

For that, let the unknown side be x.

Let us solve now.

2² + x² = ( 2√5)²

4 + x²  = 2√5 × 2√5

4 + x² = 2 × 2 × √5 × √5

4 + x² = 4 × 5

4 + x² = 20

x² = 20 - 4

x² = 16

x = √16

x = 4

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0
3 years ago
If sin ⁡x=7/25, and 0 < x < π/2, what is cos⁡(x−3π/2)?
Likurg_2 [28]

Answer:

Cos(x-\frac{3\pi}{2})=-\frac{7}{25}

Step-by-step explanation:

Remember that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Then,

cos(x-\frac{3\pi}{2})=cos(x)cos(\frac{3\pi}{2})+sin(x)sin(\frac{3\pi}{2})\\

But cos(\frac{3\pi}{2})=0 and sin(x)=\frac{7}{25}

Then

cos(x-\frac{3\pi}{2})=cos(x)*0+\frac{7}{25}*sin(\frac{3\pi}{2})\\=\frac{7}{25}*(-1)=\frac{-7}{25}

5 0
3 years ago
A japanese beetle has a length between 0.3 and 0.5 inch.find two lengths that are within the given span.express them as a fracti
DanielleElmas [232]
Hello,

One method of finding a value in between two other numbers is taking the average, it will always be between the numbers. To find the average of two numbers, add the numbers and divide it by how many numbers there are. 

In this case, we have:
(0.3) + (0.5) /2 = 0.8 / 2 = 0.4

So, 0.4 is one length that is within the given span.
Another example is 0.45, which is also between 0.3 and 0.5.

0.4 represented as a fraction is 4/10. However, this can be simplified (notice 4 and 10 are both divisible by 2). To simplify this fraction, divide the numerator and denominator of the fraction by 2 to get (4/2) / (10/2) = 2/5.

0.45 represented as a fraction is 45/100. This fraction can also be simplified (notice 45 and 100 are both divisible by 5). To simplify this fraction, divide the numerator and denominator of the fraction by 5 to get (45/5) / (100/5) = 9/20.

Two lengths that are within the span are 2/5 inches and 9/20 inches, both of which are in simplest form.

Hope this helps!
5 0
4 years ago
A triangle has the side lengths of 11 cm and 7 cm which could be the value of the third slide
AleksAgata [21]

Answer:

11

Step-by-step explanation:

11 could be the value of the other side

7 0
3 years ago
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