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F(100) = 1 because it covers all 6 outcomes. Probability function specifies the probability that a random variable takes on a specific value. It is expressed as: p(x) = P(X = x). The capital X represents the random variable and lowercase x represents a specific value that the random variable may take. A cumulative distribution function defines the probability that a random variable, X, takes on a value equal to or less than a specific value, x. It is denoted as: F(x) = P(X ≤ x). It represents the sum of the probabilities for the outcomes up to and including a specified outcome. IFT Support Team
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Hay nice job but if 7 successes out of 10 trials, then 3 failures will occurs so the probability will not be 0.5 for success and 0.5 for failure. Rather 0.7 for success and 0.3 for failure
In the explanation for the Probability distribution of Binomial Random Variable’s Formula, you say that order doesn’t matter but I think that’s INCORRECT. Since, we are already using nCx in the formula. nCx can be interpreted as choosing 7 out of 10 positions where we will obtain success and in the remaining places we have failure. Please let me know your thoughts on this!!!!
Dear Abhishek, The explanation is correct. The combination formula gives the number of ways to choose r objects from a total of n objects, when the order in which the r objects are listed does not matter. If the order matters then we use the permutation formula IFT Support Team
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10 2ndF+(for nCr)7 = 120
Appreciate your efforts Sir...You are a good samaritan indeed...God Bless you...Respect from India...
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Why probability of success is taken 0.50 in solved question.
sir how you calculated C10,7 as 120
Nice explanation sir but the NCR in 23:53 =252 not 25, thank you. your videos helps me a lot😍🙏
yes, you are correct. It should be 252. Thanks for your feedback. We will correct the solution.
IFT Support Team
Why is F(100) = 1 if the discrete distribution only have up to P(X=6) as a possibility within the probability function? (8:41)
F(100) = 1 because it covers all 6 outcomes.
Probability function specifies the probability that a random variable takes on a specific value. It is expressed as: p(x) = P(X = x). The capital X represents the random variable and lowercase x represents a specific value that the random variable may take.
A cumulative distribution function defines the probability that a random variable, X, takes on a value equal to or less than a specific value, x. It is denoted as: F(x) = P(X ≤ x). It represents the sum of the probabilities for the outcomes up to and including a specified outcome.
IFT Support Team
Hello sir! Please let me know if binomial tree is coming in our exam or not, bcoz i couldn't find on your videos.
I hope you'll reply soon
Dear Avinash,
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has anyone calculated nCx (nCr) on the HP 12c?
As a side note, thank you IFT - especially the presenter - very thorough lectures.
thanks for you explaination
how did you get 10C5 as 25 I am getting it as 252.
yes, you are correct. It should be 252. Thanks for your feedback. We will correct the solution.
IFT Support Team
@3:20 how come the return you make is an infinite decimals when 20.19 - 20.07 = 0.12 ?
Thank you! very intuitive explanations. Which i desperately needed after not studying stats for 4 years
Thank you indeed for your comments and for liking IFT material.
IFT Support Team
hello, how do i get 10C7 in a calculator?
10, 2ND, nCr(plus sign), 7, "="
Dear Student,
Yes, Kunal is correct. You can watch our calculator tutorial videos for further assistance.
IFT Support Team
Great thanks from Azerbaijan
Thank you so much.
Ift support team
Thanks from Bangladesh
Thank you so much. Greetings from our side also.
IFT Support Team
Good sir very helpful
"1.26"
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14:25 how to calculate on calculator?
@23:53 10C5 = 15
10C5 = 252
IFT support team
Salute! Your explanation makes it much easier to understand
Thank you so much for your comments. We are glad that you find the material helpful.
IFT support team
Hay nice job but if 7 successes out of 10 trials, then 3 failures will occurs so the probability will not be 0.5 for success and 0.5 for failure. Rather 0.7 for success and 0.3 for failure
To calculate the probability of binominal random variable, we use binomial probability distribution formula as given on slide 7.
IFT Support Team
In the explanation for the Probability distribution of Binomial Random Variable’s Formula, you say that order doesn’t matter but I think that’s INCORRECT.
Since, we are already using nCx in the formula. nCx can be interpreted as choosing 7 out of 10 positions where we will obtain success and in the remaining places we have failure. Please let me know your thoughts on this!!!!
Dear Abhishek,
The explanation is correct. The combination formula gives the number of ways to choose r objects from a total of n objects, when the order in which the r objects are listed does not matter. If the order matters then we use the permutation formula
IFT Support Team