18). Starting at 9: 00am, assengers arrive at a train station as a Poisson process with rate A = 2 per minute. The next train will depart at time T, where T is uniformly distributed between 9: 10am and 9: 15am. Compute the mean waiting time for a passenger at the station before the train departs. [Hint: condition on T and N(T), the number of passengers who depart on the train]. I Answer: 6 mins 15 sec.

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 75 - 3.5y - 4y = 4y + 6

A:

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 2/5+4/8

A: We have to find the sum

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: 4n – 1

A:

Q: 6 2/5 + 1 3/10

A:

Q: a = 4

A:

Q: 7/2 + 3 4/6

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: (a) A study of the effects of running on personality involved 231 male runners who each ran about 20…

A: In a double-blind trial, neither the volunteers nor the researchers are aware of who is getting a…

Q: 22n+1 3n+1 2.

A:

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 4/11+3/8

A: Topic:- simplification

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: factors of 20 that add up to 9

A:

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

Q: ne binomial:

A:

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: Determine whether the given procedure results in a binomial distribution. If not, state the reason…

A:

Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

Q: 10. 15gr, 20s

A: Given

Q: expansion of (1-2m)“

A:

Q: Which graph will be use to present the favourite T.V show during previous year?

A: Here, the data consist of scores of favorite television show during the previous year. This is…

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: 1 3 8.

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-12 (²

A: -83

Q: Find A.

A: Given