(a) state the (four) conditions necessary for a random variable x to have a binomial distribution. it is known that the probability of being dealt a full house in a hand of poker is .0014. in 1,000 hands of poker, let x be the number of times the dealer gives you a full house. (b) what is the exact probability distribution of x? ( justify your answer carefully.) (c) what are the expected value and variance of x? (simply state the results based on your answer in ( (d) use a poisson approximation to show that p(x > 2), the probability that you are dealt at least 2 full houses, is approximately equal to .408. (e) suppose that a random variable y function of y is m(t) = e^(e' –1). poisson(a). prove that the moment-generating

it would not be increasing by nothing that i can see probably by 25 percent that is all i can sat\y for now if i have any thing else to say i will edit this.

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

step-by-step explanation: