117. The coefficient of correlation when coefficients of regression and 1.8 is (a) 0.36 (b) 0.2 (c) 0.6 (d) 0.9 are 0.2

I’m taking a statistics and probability class. Please get this correct because I want to learn. I have gotten wrong answers on here before

Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression​ line? About the unexplained​ variation?   r = -0.338   Calculate the coefficient of determination. ​(Round to three decimal places as​ needed.) ​% of the variation can be explained by the regression line ​(Round to one decimal place as​ needed.) ​% of the variation is unexplained and is due to other factors or to sampling error. ​(Round to one decimal place as​ needed.)

Q 1 If X is a random variable with distribution X: 0 1 2 3 P(X): 1111 44 44 Find the mean, Variance and standard deviation. Q 2 If X is a random variable with distribution X: 0 12 3 4 P(X): 0 K 2K 3K 4K Explain the following: (i) For which value of K, P(X) is probability mass function? (ii) Find the following probabilities: (a) P(1 ≤ X < 4). (b) P(2 < X < 4). Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (²) and standard deviation (o) of the numbers on the balls. Q4 A special six-sided die is made in which 2 sides have 6 spots, 3 sides have 4 spots, and 1 side has 1 spot. If the die is rolled, find the expected value of the number of spots that will occur. Q5 Let X-B(4,0.6). Find the following (i) P(X = 2) (ii) P(1 < X < 4) (iii) Also find mean and variance. Q6…