Suppose each day that you drive to work a traffic light that you encounter is either green with probability 3/8, red with probability 1/2, or yellow with probability 1/8, independent of the status of the light on any other day. if over the course of five days, g, y, and r denote the number of times the light is found to be green, yellow, or red, respectively, what is the probability that p[g=2, y=1, r=2] ? also, what is the probability p[g=r]? [15%]. hint: consider sequences possible in a five-day observations

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

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i think the answer is true

step-by-step explanation: