Zimmerman’s bank is the only bank in the small town of st. thomas. on a typical friday, an average of 10 customers per hour arrive at the bank to transact business. there are two tellers at the bank (both work at the same rate), and the average time required to transact business is 4 minutes. it is assumed that service times and the inter-arrival times may be described by the exponential distribution. a single line would be used, and the customer at the front of the line would go to the first available bank teller. find: a) the average time a customer spends in the line. b) the average number of customers in the line. c) the average time a customer spends in the system. d) the average number of customers in the system.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

it is only things thain can be deafeated

step-by-step explanation:

could u provide us some answer choices or hmm idk maybe a table for us to anser with ? ?

doubled

step-by-step explanation: