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Whitepunk [10]
3 years ago
13

Geometric Distribution. (Discrete waiting time distribution) It is known that 1% of bits transmitted through a digital transmiss

ion are received in error. Bits are transmitted until the first error. Let X be the number of transmitted bits including the first error. a. What are the possible values of X? (Support) b. What is the pmf of X? C. Show that P(X>t+s|X>t) is independent of t, where s and t are positive integers. (Memoryless) d. What is the mean of X? You can either derive it, or show it with R. simulations.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

See attached image for detailed answer.

Step-by-step explanation:

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The tire on Frank's bike moves 75 inches in every rotation. How many rotations will the tire make after Frank rides 50 feet?
4vir4ik [10]
Set up a proportion:

First convert 75 inches to feet.

75 in = 6.25 ft

1/6.25 = x/50

Multiply 50 to both sides:

50 * 1/6.25 = x

50/6.25 = x

x = 8

So the tire will rotate 8 times after Frank rides 50 feet.
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3 years ago
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Can somebody help me with the Math's questions on Pythagoras Theorem? Thanks
olga2289 [7]

Answer:

2.4 cans cost 47.4

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay 59.25

Step-by-step explanation:

The lawn has trapezoidal shape, so find the area of the trapezoid using formula

A=\text{Midline}\times \text{Height}

In the diagram, ABED is rectangle, so BE = 12 m, thus ED = 20 m - 12 m = 8 m.

Consider right triangle EDC. By the Pythagorean theorem,

ED^2+EC^2=CD^2\\ \\ED^2+8^2=17^2\\ \\ED^2=289-64\\ \\ED^2=225\\ \\ED=15\ m

Thue,

Height = 15 m

Find the midline:

\text{Midline}=\dfrac{AD+BC}{2}=\dfrac{12+20}{2}=16\ m

Hence,

A=16\cdot 15=240\ m^2

One can cover 100\ m^2, to cover 240\ m^2 is needed

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One can costs 19.75, so 2.4 cans cost

19.75\cdot 2.4=47.4

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay

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4 0
4 years ago
What kind of number is e? <br><br> a.) integer<br> b.) rational <br> c.) natural <br> d.) irrational
Oliga [24]

Answer:

c.natural

Step-by-step explanation:

The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.

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3 years ago
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An object is dropped from rest at a height of 350 feet on a planet where the acceleration due to gravity is −60 ft./s.2. Find th
lozanna [386]

See the attached picture

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3 years ago
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ห - 14W - 32<br> I’m factoring polynomials please help
nydimaria [60]

Answer:

Step-by-step explanation:

Sum = -14

Product = - 32

So, the factors = -16 , 2

When we add -16 +2 = -12 and when we multiply it is -32

w⁴ - 14w² - 32 =  w⁴ - 16w² + 2w² - 16 * 2

                      = w²(w² - 16) + 2(w² - 16)

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