Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears a waiting song until the first dispatchers becomes available. The telephone system will assign available dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with each caller. 14.What is the probability of receiving at least 2 callers (P(X> 2) in the system within 15 minutes? Hint: customer arrival in M/M/k system is also following the Poisson Distribution. You have the formula in single-server cheat sheet! Select one: O a. 99.84% O b. 95.84% O c. 66.16% O d. 91.56%

Q: m³ ² m² 771 A) m10 26 B mx? 211 p2 D m² x²

A: m5 ●x2 ●m4 / m2 = m9 ● x2 / m2

Q: him Z Q3. Show that 20Z does not exist.

A: The given problem is to show the given complex limit does not exist.

Q: Find (+72+6) dz + C

A:

Q: Solve. 44 39) Σ (-6n +7) n = 1

A:

Q: 31. | V36 — 9х2 dх

A: Use trigonometric substitution x=2sint.

Q: 114 19

A:

Q: 4) 45

A: The length of the side AB=32 units. An angle m∠A=45∘ The objective is to find the value of 'x'.

Q: Evaluate J S S dydx. r4x Jx2

A: To solve this question first integrating with respect to y and plug in the limit then integrate with…

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: 0=N+ +02 NzP OOT AJOS

A:

Q: 28)9,589

A: Given

Q: Which of the following is equivalent to 3 - V2 O A. V2 А. O B.-V2 3- V2 O C. 3+ v2 O D.

A:

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

A:

Q: 3.20) what is the remainder when 1s+85+...t100s is divided by4?

A: Given 15+25+....+1005 is divided by 4

Q: Q.4) Evaluate 10! с. 8p5 а. 6!- 3! b. 4!(10–4 )! d. 9с7 С1

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Q7) Let P(A) = 0.3 and P(B) = 0.6. a. Find P(A or B) when A and B are independent. %3D b. Find P(A…

A: When A and B are independent, then P(A∩B)=P(A)xP(B) When A and B are mutually exclusive then…

Q: Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at…

A: W = within 5 minute A = after 5 minute total N = none 391 66 457 M = mild 65 341 406 S =…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.