An urn initially contains two black balls and two white balls. the following experiment is repeated indefinitely: a ball is drawn from the urn; with probability a, the color of the ball is changed to the other color and is then put back in the urn, otherwise it is put back without change. let xn be the number of black balls in the urn after n draws from the urn.
(a) is xn a markov process? if so, find the appropriate transition probabilities.
(b) do the transition probabilities depend on n?
(c) repeat part a if a 1. what changes?
(d) repeat parts a and c if the urn contains k black balls and k white balls.

y=mx+b

step-by-step explanation:

m slope

b y-intercept

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

y/x of point b= y/x of point a

step-by-step explanation:

(i got the same question, this was the correct answer.)

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9