Suppose we have two machines and one repairman. A machine’s life time is exponentially distributed with rateλ. When a machine breaks, the repairman works on it and the repair time is exponentially distributed with rateμ. All times are independent. Let X(t)denote the number of machines working. Is X(t)a continuous-time Markov chain? Why?
Find the long-run probability that both machines are down

rx and sx

step-by-step explanation:

12.5 feet

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.