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scoray [572]
3 years ago
8

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

0 bit and a 1 bit are equally likely. b) the probability that a bit is a 1 is 0.6. c) the probability that the ith bit is a 1 is 1∕2i for i = 1, 2, 3,…, 10.
Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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Answer:

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                     3

Convert mixed number to improper fraction

5 and 3 over 45

3

4

= ( 5 × 4 ) over 4

5 × 4

4

+ 3 over 4

3

4

= ( 20 + 3 ) over 4

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4

= 23 over 4

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4

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 11 over 122

11

12

= ( 2 × 12 ) over 12

2 × 12

12

+ 11 over 12

11

12

= ( 24 + 11 ) over 12

24 + 11

12

= 35 over 12

35

12

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

23 over 4

23

4

+ 35 over 12

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12

= ( 23 × 3 ) over ( 4 × 3 )

23 × 3

4 × 3

+ ( 35 × 1 ) over ( 12 × 1 )

35 × 1

12 × 1

= 69 over 12

69

12

+ 35 over 12

35

12

12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

69 over 12

69

12

+ 35 over 12

35

12

= ( 69 + 35 ) over 12

69 + 35

12

= 104 over 12

104

12

                 

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Answer:

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