P(x) = c 3​ x 3  + c 2​ x 2  + c 1​ x+ c 0​

If p(x) = ax2 + bx + c and a + b + c = 0, then one zero is

If the random variable X assumes the values 0 and 1 only and is such that P(X = 0) = 3P(X =

f p(x) = ax2 + bx + c and a + b + c = 0, then one zero isa.-b/ab.c/ac.b/cd.none of these

Based on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10 Find P(X>3)Question 3Answera.0.95b.0.15c.0.3

For each of the following determine the constant c so that f (x) satisfies the conditionsof being a pmf for a random variable X:(a) f (x) = x/c, x = 1, 2, 3, 4.(b) f (x) = c(1/4)x, x = 1, 2, 3, · · ·(c) f (x) = c(x+1)(x+2) , x = 0, 1, 2, 3, · · · Hint: Write f (x) = 1/(x + 1) − 1/(x + 2)