Joel is making a scarf. the diagram shows the ratio of knit stitches and purl stitches of joel's scarf. a tape diagram showing 2 parts labeled "knit" and 7 parts labeled "purl" based on the ratio, how many purl stitches are there if there are 8 knit stitches in one row of joel's scarf?

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).