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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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Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was
kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

P = $50,000

I = $9,375

t = 3 years

r = ?

The formula for simple interest is given by

I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%

Therefore, the annual interest rate is 6.25%

6 0
3 years ago
The height of a volleyball, h, in feet, is given by h = −16t2 + 11t + 5.5, where t is the number of seconds after it has been hi
slavikrds [6]

Answer:

It will travel high enough

Step-by-step explanation:

Find the vertex of the parabola:

x=-b/2a

x=-11/2(-16)

x=-11/-32

x=11/32

Plug x=11/32 into quadratic to get the y-coordinate:

h=-16(11/32)^2+11(11/32)+5.5

h=7.391

Since 7.391>7.3, the volleyball will travel high enough (aka. yes)

3 0
3 years ago
Write f(x) in a non-factored way from polynomial equation f(x)=(x+2)(-x+3)(x-2)?
Lelu [443]

Answer:

f(x) = -x³ + 3x² + 4x - 12

Step-by-step explanation:

f(x)=(x+2)(-x+3)(x-2)

Step 1. Use the difference of two squares

(x + 2)(x - 2) = x² - 4

f(x) = (-x + 3)(x² - 4)

Step 2. Long multiplication

x² - 4

<u>-x  + 3               </u>

-x³           + 4x

<u>      + 3x²         - 12</u>

-x³ + 3x² + 4x - 12

f(x) = -x³ + 3x² + 4x - 12

5 0
3 years ago
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klasskru [66]

Answer:

Ok do u want me to find x?

Step-by-step explanation:

If yes then x=3.27

8 0
2 years ago
Quesuon 18 of 40
dimulka [17.4K]

Answer:

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7 0
3 years ago
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