Biotechnology Forums

Can anyone answer this question?

At the transcription start site of a gene, any of the four nucleotides can occur with equal probability p. 
The Shannon Entropy S for this site would be? (Details in the image)

(02-14-2017, 09:45 PM)CHANDA7 Wrote: [ -> ]Can anyone answer this question?

At the transcription start site of a gene, any of the four nucleotides can occur with equal probability p. 
The Shannon Entropy S for this site would be? (Details in the image)

Given the fact that there is equal Probability for all 4 nucleotides, so p=0.25 or 1/4.

Now, all we have to do is fill the same into the given equation:

S= -[0.25*ln(0.25) + 0.25*ln(0.25) + 0.25*ln(0.25) + 0.25*ln (0.25)]

= -0.25[4ln(0.25)]
=-1*ln(0.25)
=-ln(0.25)
=-ln(1/4)
=-[ln(1) - ln(4)]
= -[0 - ln (2*2)]
= ln(2) +ln (2)
=0.69 + 0.69
= 1.38

I hope this is the way to go about it...

(02-15-2017, 01:56 AM)SunilNagpal Wrote: [ -> ]

(02-14-2017, 09:45 PM)CHANDA7 Wrote: [ -> ]Can anyone answer this question?

At the transcription start site of a gene, any of the four nucleotides can occur with equal probability p. 
The Shannon Entropy S for this site would be? (Details in the image)

Given the fact that there is equal Probability for all 4 nucleotides, so p=0.25 or 1/4.

Now, all we have to do is fill the same into the given equation:

S= -[0.25*ln(0.25) + 0.25*ln(0.25) + 0.25*ln(0.25) + 0.25*ln (0.25)]

= -0.25[4ln(0.25)]
=-1*ln(0.25)
=-ln(0.25)
=-ln(1/4)
=-[ln(1) - ln(4)]
= -[0 - ln (2*2)]
= ln(2) +ln (2)
=0.69 + 0.69
= 1.38

I hope this is the way to go about it...

Thank you Sunil sir.....My answer was also 1.38

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region.......(refer snapshot for details)

(02-15-2017, 02:05 AM)RONIT SHARMA Wrote: [ -> ]

I've marked C

Hello everyone,

Please do write some lines of the question as well (apart from pasting the snapshot). Other students will be searching for answers by typing some lines of the question and therefore it is important to post the queries in a 'search friendly way'. Hope the point will be acknowledged...thanks and best wishes..

(02-15-2017, 02:06 AM)RONIT SHARMA Wrote: [ -> ]

(02-15-2017, 02:05 AM)RONIT SHARMA Wrote: [ -> ]

I've marked C

Can you share the link to the question paper? 
Or the source. Would help us all discuss the entire paper altogether.

(02-15-2017, 02:05 AM)RONIT SHARMA Wrote: [ -> ]A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region.......(refer snapshot for details)

First transition is no doubt Down, and second apparently is Up till 575, followed by a down....so, Down Up Down it is.....

(02-15-2017, 02:47 AM)Manoj_Shastry Wrote: [ -> ]

(02-15-2017, 02:06 AM)RONIT SHARMA Wrote: [ -> ]

(02-15-2017, 02:05 AM)RONIT SHARMA Wrote: [ -> ]

I've marked C

Can you share the link to the question paper? 
Or the source. Would help us all discuss the entire paper altogether.

Question paper is available on official GATE site.

The genome is diploid at the end of which phase of a human mitotic cycle?
1 G2&S
2 G1&M
3 M&S
4 G1&G2