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Two numbers p and q are such that p3 X q = 189. Find p and q

Two numbers p and q are such that p3 X q = 189. Find p and q

Evaluate correct to four decimal places, hence Write the answer in standard form.

Evaluate

correct to four decimal places, hence Write the answer in standard form.

Suppose that X takes values between 0 and 1 and has probability density function 2x. Compute Var(X) and Var(X2).

Suppose that X takes values between 0 and 1 and has probability density function 2x.
Compute Var(X) and Var(X2).

Two dice are rolled. A = ‘sum of two dice equals 3’ B = ‘sum of two dice equals 7’ C = ‘at least one of the dice shows a 1’ (a) What is P(A|C)? (b) What is P(B|C)? (c) Are A and C independent? What about B and C?

Two dice are rolled.

A = ‘sum of two dice equals 3’

B = ‘sum of two dice equals 7’

C = ‘at least one of the dice shows a 1’

(a) What is P(A|C)?
(b) What is P(B|C)?
(c) Are A and C independent? What about B and C?