A box has 25 yellow balls and 30 green balls you randomly...

A box has 25 yellow balls and 30 green balls. You randomly select 7 balls from the box. Find: Flag question: Question 21 Question 21 8 pts P(you select exactly 5 yellow balls) = Group of answer choices 0.313 0.114 1 in 302,575,350 0.07 Flag question: Question 22 Question 22 8 pts P(you select 0 yellow balls) = Group of answer choices 0.25 0.723 0.807 0.01 0.113 Flag question: Spacer Here is the regression line and coefficient of determination obtained from a certain scatter plot: y = -1.1x + 7.1 r2 = 0.53 Flag question: Question 23 Question 23 8 pts If x = 0, predict Y = Group of answer choices -1.1 14.6 0 7.1 Flag question: Question 24 Question 24 8 pts If x = 2, predict y = Group of answer choices 6.2 5.2 1.8 4.9 Flag question: Question 25 Question 25 8 pts correlation coefficient r = Group of answer choices 0.73 0.88 0.53

Transcript

00:01 Here box contains 8 black balls 8 black balls 2 red balls right and we have 10 green balls right.

00:16 So a sample 10 balls with replacement and denotes that denote the number of black red green balls in the sample by n b n r n g respectively, right so here it would be n b n b this is represented by n b.

00:43 This is n r and this is n g here, right? so this is given to us right now it is asked that the probability distribution n r plus n g would be what so for part a when you find a binomial distribution, so binomial is represented by binomial distribution n and p n and p so n is basically the number of trials right and p is the p is basically the probability of success probability of success right.

01:38 So it is told that sample 10 balls with replacement and denote the number of black red and green balls in the sample so basically this would be represented by binomial therefore 10 ball with replacement so this would be 10, right? but this is number of trials total number of trials, but if you talk about being red or green being red or green that means for being red the probability would be 2 by 20 because total number of balls is equals to total number of balls out of which we are choosing this is equals to 20 8 plus 2 plus 10 that would be 20.

02:27 So this would be 2 by 20 plus you have 2 red and 10 green so 10 divided by 20.

02:37 This is the getting success this is the probability of getting success so that means binomial distribution 10 and this would be point 2 and this would be i'm sorry.

02:53 This is point 1 right, and this would be point 5 which is point 6.

03:00 So now what is the option which option is correct? 10 and point 6 that means option number b is correct here right now moving forward with the another problem here correlation of n b n g is asked, right? so here as we are as we are sampling with sampling with replacement the covariance the covariance covariance nb ng would be equals to 0 otherwise this is option.

04:02 Okay.

04:02 So let me just describe it first okay, so it is covariance is equals to 0 right? so why we are talking about covariance? while we need to calculate correlation because we know we know the correlation is correlated with covariance so correlation of n b n g is given by covariance of n b n g right and this is whole divided by root over variance of n b multiplied by variance of n g isn't it? so this would be correlation.

04:57 This would be equals to 0 almost if it is equals to 0 so what would be the nearest answer then the nearest answer would be nearest answer would be negative of 2 minus 3 2 by 3 which is nearer to the value 0 right.

05:22 So option number therefore option number c is correct negative of 2 by 3 is correct choice moving forward with the third one.

05:36 So this is 26 problem so this is about 26 problem, which is option number b is correct and 27th for 27th it is option number c is correct...

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