![sweetgigi2364](/avatars/40958.jpg)
sweetgigi2364
30.10.2020 •
Mathematics
Binary data are transmitted over a noisy communication channel. The probability that a received binary digit is in error due to channel noise is 0.05. Assume that such errors occur independently within the bit stream.
(a) What is the probability that the 3rd error occurs on the 50th transmitted bit?
(b) On average, how many bits will be transmitted correctly before the first error?
(c) Consider a 32 bit transmissions over a noisy communication channel, What is the probability of exactly 2 errors in this word?
Solved
Show answers
More tips
- H Health and Medicine How to Properly Take a Blood Sugar Test?...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- S Style and Beauty Autotanning: Harmful or Safe?...
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine How to Reduce Sweating in the Heat and Beyond: Say Goodbye to Excessive Sweat...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- H Health and Medicine What to Eat to Lose Weight?...
- A Animals and plants How to Teach Your Parrot to Talk?...
Answers on questions: Mathematics
- M Mathematics If p represents a number, which expression represents p divided by 7, increased by 8 ?...
- M Mathematics What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14. A. 4 cm B. 3 cm C. 8 cm D. 7 cm...
- M Mathematics Graph the equations to solve the system y=2x+4 y=3x+3 pls slove if u know the answer...
- M Mathematics ANSWER ASAP Completely factor. 2x^4 + 6x^3 + 8x^2 + 24x = 0...
- M Mathematics Ill mark u brainliest pls show work...
- M Mathematics PLS HELP FAST TAGS** -_-FRACTIONS FREE POINTS PROPORTIONAL MATH FREE BRAINLIEST POINTS FRACTIONS MATH-_-...
- M Mathematics Pls help me ill mark u brainliest and show ur work...
- M Mathematics This is a normal math question *winks* Wanna zooom? If so lmk :)...
- M Mathematics Find the measure of arc fc...
- M Mathematics ANSWER ASAP Describe the zeroes of f(x) = 5x^4 + 15x^3 – 50x^2 __with multiplicity__ __with multiplicity__ __with multiplicity__...
Ответ:
-
Step-by-step explanation:
a.) P(x=3)=0.0166
When a random variable is defined as the kth success in the nth trial, the negative binomial distribution follows.
The probability mass function for the negative binomial distribution is defined as,
P(X=k)=\binom{n-1}{k-1}p^k(1-p)^{n-k}
where
k is the kth success = 3
n is the number of trials needed for kth success = 50
p = probability of success = 0.05
P(X=3)=\binom{50-1}{32-1}0.05^3(1-0.05)^{50-3}
P(X=3)=0.0166
b) On average, 20 bits will be transmitted before the first error.
When a random variable is defined as the number of trials needed until the first success occurs, the geometric distribution follows,
The expected value of the geometric random variable is obtained using the following formula,
E[X]=\frac{1}{p}=\frac{1}{0.05}=20
c) P(X = 2) = 0.0166
The probability mass function for the negative binomial distribution is defined as,
P(X=k)=\binom{n-1}{k-1}p^k(1-p)^{n-k}
Given
k = 2
n = 32
P(X=2)=\binom{32-1}{2-1}0.05^2(1-0.05)^{32-2}
P(X = 2) = 0.0166
Ответ:
15 ways
1 and 21 and 3 1 and 4 1 and 51 and 62 and 32 and 42 and 52 and 63 and 43 and 53 and 64 and 54 and 65 and 6Hope this helps