Determine randomly generated bit string, Mathematics

Assignment Help:

Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F independent if the 16 bit strings of length 4 are equally likely? 

Ans: Number of 4 bit strings that starts with 1 is 8, thus P(E) = .5  

Number of 4-bit string comprising even number of 1's is also 8 [C (4, 0) + C(4, 2) + C(4, 4)]. Hence P(F) = .5  

Here now Number of 4-bit string that begins with 1 and consists of even number of 1's is 4 [1 + C(3, 0)]. So P (E∩F) = .25.

Obviously P (E∩F) = P(E)*P(F). So E and F are independent.


Related Discussions:- Determine randomly generated bit string

Integration techniques, Integration Techniques In this section we are ...

Integration Techniques In this section we are going to be looking at several integration techniques and methods. There are a fair number of integration techniques and some wil

Undetermined coefficients, UNDETERMINED COEFFICIENTS The way of Undeter...

UNDETERMINED COEFFICIENTS The way of Undetermined Coefficients for systems is pretty much the same to the second order differential equation case. The simple difference is as t

Arc length with vector functions - three dimensional space, Arc Length with...

Arc Length with Vector Functions In this part we will recast an old formula into terms of vector functions.  We wish to find out the length of a vector function, r → (t) =

How to multiply two fractions, Q. How to Multiply two Fractions? Multip...

Q. How to Multiply two Fractions? Multiplying fractions is really easy! The rule is: "multiply across"- You multiply the numerators, and you multiply the denominators.

Geometry, how to do proving of rectilinear figures?..

how to do proving of rectilinear figures?..

Integers, hi i would like to ask you what is the answer for [-9]=[=5] grade...

hi i would like to ask you what is the answer for [-9]=[=5] grade 7

probability problems, A school principal is looking at the combinations of...

A school principal is looking at the combinations of subjects students are studying. He learns that the probability that a student is studying Chemistry is 0.5 and that the prob

Trigonometry, TRIGONOMETRY : "The  mathematician  is  fascinated  with  the...

TRIGONOMETRY : "The  mathematician  is  fascinated  with  the  marvelous  beauty  of the forms  he  constructs,  and  in their  beauty  he  finds  everlasting  truth." Example:

Determine the angle in hexagonal-shaped nut, The figure provided below show...

The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC?   a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd