Suppose P(A and B) = x, P(BlA) = y, and P(B) = z. What is P(A or B)?

3 Find P (A/B) and P (BIA), show, 4 3 5 Given P(A) = , P(B) 8 and P(B A) 8 whether A and B are independent.

The table below shows the marks out of 40 for nine students on two tests. The tests cover similar content but on one test the students are allowed to use a calculator while on the other test calculators are not allowed. Student A B Calculator allowed (x) 8 10 Non-calculator (y) 12 14 (b) C 14 6 Student J scored 25 on the test with calculators allowed, but missed the non-calculator test. Use the marks for students A to I to find the value of the Pearson correlation coefficient between the marks x on the test with calculator allowed and the marks y on the non-calculator test, and the equation of the least squares regression line of y on x. (a) (c) D E F G H I 14 16 22 28 32 36 4 28 16 24 22 18 Use the least squares regression line of y on x to estimate the mark of student J on the non-calculator test. Describe the strength of the correlation between the marks on the two tests and explain how this may affect the accuracy of your estimate.

Please help me with question #7 with as much explanation as possible please. I really want to understand this

Given t= (8,-7) and u = (-11,-4), what is t-u?

Q7) Let P(A) = 0.3 and P(B) = 0.6. a. Find P(A or B) when A and B are independent. b. Find P(A or B) when A and B are mutually exclusive.

Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, – 1, –-1} , v3 {(1,4, –1, 2)} , v4{(6,9, 4, 2) B' = wi {(0, 8, 8)} , w2 = {-7, 8, 1} , w3 {(-6, 9, 1)} 3 -2 1 0\ 1 6 2 1 and T : R* + R such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' a)Check that sets B is a basis of R' and set B' is a basis of R A =

4)

A bag contains 3 red balls, 2 yellow balls, 2 green balls. Suppose that you pick three balls at random (without replacement). Let R denote the number of red balls and Y the number of yellow balls. Find E(R²Y³).

Please help me with question #5 with as much explanation as possible please. I really want to understand this