In my whole study carrier of 17-18 years, this was most toughest study session

for those who are struggling i highly recommend binging through the stats-1 week 4 to week 12. Binge the playlist for statistics-1 till the end, solve along with prof.usha and ask chatgpt or watch another video for any , even the most minute conceptual doubts. Then come to stats-2 and see the difference in understanding. People with weak base in stats-1 suffer here

Sadly after Poisson's no. of coin tosses my brain malfunctioned. If there is a easier or clearer way please anyone reply me with the link. :))

@sandipbnvnhjv

3 жыл бұрын

I hope this gives you some intuition: N has a Poisson distribution from 1 to infinity. Suppose N takes value 4. Now you have to flip a coin 4 times. Each time, the probability of getting head is 1/2, and every toss is independent of other tosses. So the expected value of no of heads E[X|N=4] = 4*1/2. Now let's generalize this. If N takes value n, then E[X|N=n]=1/2*n....(i) Now, equation (i) is an equality between 2 numbers. Let's convert this into an equality between 2 random variables. If the value of N is unspecified, then expected value of X will not be a number, but a random variable, so: E[X|N]= N*1/2...(ii) Equation (ii) has random variables on both sides. Now, we know that, every random variable has an expected value. If two random variables are equivalent, their expected value will be same: So, E[E[X|N]]=E[N/2]....(iv) Now, the law of total expectation says: "the expected value of the conditional expectation is the unconditional expectation". So we could write the LHS of of equation (iv): E[E[X|N]]=E[X]....(v) So, E[X]=E[N/2]....(vi) Hope, you could see that X will be function of the Poisson distribution N, which just scales the distribution by a factor of 1/2(or p, in more general case, where p is the probability of getting a head). This explanation will be easy to understand if you could do some reading on law of total expectation. If you find it convoluted, my apologies.

@rishabhprakash007

3 жыл бұрын

@@sandipbnvnhjv That was great i understood a bit thanks for the time you took to write it down. I just need to get a much clearer view on Total Expectation Law. Then will read this again to understand. Thankyou

@dhruvil_2662

3 жыл бұрын

Mine Too, Bro :((

@avenumadhav3568

3 жыл бұрын

rewatch it as many times, spend your time as much as you need it until you clear up your confusion ......and during this process donot giveup.

@krishnamsettijayakrishnava3010

2 жыл бұрын

Make sure in foundational, for lectures of Andrew sir and Madhavan sir you need to listen at 0.75x speed only to understand better........Otherwise your brain's temperature increase on listening with normal or more speed .......

Not getting why at 23:54 - Fxy(8.2) = 8 runs scored | 2 wickets down = is 0* 1/8 instead of 0*1/16 as the prob given for Y~2 is 1/16

@SJ-kp2hq

Жыл бұрын

Yes I also😄 But I think it's 1/16*0😄😄

JPMF = CPMF * MPMF: 1:15 throw a dice and toss a coin: 1:40 3:10 3:25 4:24 5:09 poisson number of coin tosses: 7:50 8:28 9:27 10:53 12:18 13:28 15:04 17:45 18:51 19:07 ipl power play over: 21:30 22:40

@worthaglimpse

3 жыл бұрын

what is the relevance of these timestamps

@storiesshubham4145

2 жыл бұрын

@@worthaglimpse Irrelevant

fx(t) what is represting runs or anything else?

While he might be knowledgeable, his teaching style might not be suitable for everyone. He seems to assume that all students are proficient in statistics, which is not the case. Personally, I found Usha Mohan ma'am to be an excellent teacher. I highly recommend bringing her back, as she has the ability to explain topics in a way that resonates with all students, regardless of their level of expertise.

@alphabetagamma4142

3 ай бұрын

That's why IIT is not for everyone😂

1st watch: horrible..got confused like never 2nd watch: it was so bad that it actually started feeling good..

For all those who're confused in this part, you should practice all the examples in the previous lectures by yourself and get the hang of new notations and terms, also learn some basic gp series formulae, limits, after this you'll be able to understand the lecture at once :)

@DIVAKARANGOVINDARAJKARUNAKARAN

Ай бұрын

Please watch the additional content that will be lot more helpful

I think there's a mistake at 23:50.it should be 1/16 * 0

@susmitamainde9017

2 жыл бұрын

Yes i think

@manasverma6610

2 жыл бұрын

yes i think u r right

@aadityabugga7906

2 жыл бұрын

Concur.

@purnendushekharshukla9243

2 жыл бұрын

I was confused here for 50 times😂

@harishrivaidya2523

Жыл бұрын

Yeah....

Ded😶🤕

@krishnamsettijayakrishnava3010

2 жыл бұрын

listen at 0.75x speed only to understand better.

@raj_patel

Жыл бұрын

same here :)

4th time