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Alex777 [14]
3 years ago
5

Consider an optical communication system that transmits a symbol "1" by turning a laser onfor 200 nanoseconds, and a "0" by turn

ing the laser off for 200 nanoseconds. A photon count-ing device counts the number of photons in the 200 nanosecond time interval (synchronizedwith the transmitting laser). Assume that the number of photons measured within a giveninterval (200 nanoseconds) is a Poisson random variable with parametersλ1= 5 andλ0= 1,depending on whether the laser is on or off. Note that even when the laser is off, it still emitsa random number of photons due to the dark current. Also assume "0" is 5 times as likely as"1" to be transmitted. Suppose that the photon counting device detects 5 photons in a giventime interval. What is the probability that a "0" was sent?Hint: This problem requires the use of conditional PMF and Bayes’ rule.

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

Detailed calculation is carried out in the diagram attached for demonstration.

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Answer:6.6666666667

Step-by-step explanation:just divided it

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3 years ago
Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

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3 0
2 years ago
Find the missing number based on the description below:
Nat2105 [25]

Answer:

The number is -2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of -3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = -3a - 32

collect like terms

7a + 3a = - 32 + 12

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divide both sides by 10

a = -20/10

a = -2

The number is -2

8 0
3 years ago
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pav-90 [236]

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

3 0
3 years ago
Read 2 more answers
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olganol [36]

Answer:

2500

Step-by-step explanation:

there you go haha

3 0
3 years ago
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