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Gala2k [10]
3 years ago
13

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

it and a 1 bit are equally likely.
Mathematics
1 answer:
jeka943 years ago
4 0

Answer:

Step-by-step explanation:

From the given information; Let's assume that  R should represent the set of all possible outcomes generated from  a bit string of length 10 .

So; as each place is fitted with either 0 or 1

\mathbf{|R|= 2^{10}}

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if  a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

\mathbf{P(E) = \dfrac{|E|}{|R|}}

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

\mathbf{{|E|}=1 }   ; \mathbf{|R|= 2^{10}}

\mathbf{P(E) = \dfrac{1}{2^{10}}}

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The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.
Andre45 [30]

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

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4 0
2 years ago
How much sugar syrup would you get by Making 5% sugar syrup using 6g sugar?
kherson [118]

Answer: 120 grams.

Step-by-step explanation:

Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.

Also, 5% =0.05

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According to the question, we have

0.05x=6\\\text{Divide 0.05 on the both sides we get}\\\Rightarrow\ x=\frac{6}{0.05}\\\Rightarrow\ x=\frac{600}{5}\\\Rightarrow\ x=120

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5 0
3 years ago
Read 2 more answers
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11111nata11111 [884]

Answer:

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Step-by-step explanation:

6 0
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Mount McKinley, in Alaska, is about 3.848 miles high. If a mountain climber can climb 0.25 miles per day, about how long to the
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Answer:

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