1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bixtya [17]
3 years ago
12

Suppose customer arrivals at a post office are modeled by a Poisson process N with intensity λ > 0. Let T1 be the time of the

first arrival. Let t > 0. Suppose we learn that by time t there has been precisely one arrival, in other words, Nt = 1. What is the distribution of T1 under this new information? In other words, find the conditional probability P(T1 ≤ s|Nt = 1) for all s ≥ 0.
Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:

Step-by-step explanation:

We need to find the conditional probability P( T1 < s|N(t)=1 )  for all s ≥ 0

P( time of the first person's arrival < s till time t exactly 1 person has arrived )

= P( time of the first person's arrival < s, till time t exactly 1 person has arrived ) / P(exactly 1 person has arrived till time t )

{ As till time t, we know that exactly 1 person has arrived, thus relevant values of s : 0 < s < t }

P( time of the first person arrival < s, till time t exactly 1 person has arrived ) / P(exactly 1 person has arrived till time t )

= P( exactly 1 person has arrived till time s )/ P(exactly 1 person has arrived till time t )

P(exactly x person has arrived till time t ) ~ Poisson(kt) where k = lambda

Therefore,

P(exactly 1 person has arrived till time s )/ P(exactly 1 person has arrived till time t )

= [ kse-ks/1! ] / [ kte-kt/1! ]

= (s/t)e-k(s-t)

You might be interested in
When 8 is added to a certain number and the
Mars2501 [29]

Answer:

11

Step-by-step explanation:

11+8=19

19x3=57

7 0
2 years ago
You buy 24 keyboards for $120 each less 15%. What is your subtotal before taxes?
kotykmax [81]
<span>First, you need to take the 15% off from the $120 so it will make it easier for you to calculate later. Since there is 15% off, your $120 becomes only $102. Since your keyboards only costs $102 each now, you just have to multiply the number of keyboards you wanted to the less price. $102 multiplied by 24 keyboards is equals to $2,448. We don’t have to add taxes because it is stated that we are just looking for SUBTOTAL before taxes. The answer is A. $2,448. <span>
</span></span>
5 0
3 years ago
Read 2 more answers
Tyler surveys his classmates to determine the number and type of pets they have. The frequency table below shows this data.Based
kodGreya [7K]
I would saybar chart because it is a set amount of data
3 0
2 years ago
Read 2 more answers
What is the surface area of a right come with a radius of 20 and a height of 15?
Allisa [31]

The first step in finding the surface area of a cone is to measure the radius of the circle part of the cone. The next step is to find the area of the circle, or base. The area of a circle is 3.14 times the radius squared (πr2). Now, you will need to find the area of the cone itself. In order to do this, you must measure the side (slant height) of the cone. Make sure you use the same form of measurement as the radius.

You can now use the measurement of the side to find the area of the cone. The formula for the area of a cone is 3.14 times the radius times the side (πrl).

So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by:

SA = πr2 + πrl

5 0
3 years ago
Can someone help me please.​
BabaBlast [244]

Answer:

B, or second answer choice

Step-by-step explanation:

y - y_{1} = m(x - x_{1})

y - 1/3 = 3/4 (x - 4)

B

8 0
2 years ago
Other questions:
  • What is 6.7 x (-2.3) round to the nearest hundredth
    9·2 answers
  • Annie bakes cookies and cupcakes in a ratio of 2 to 7 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. H
    12·1 answer
  • -3x+3y=4 -x + y = 3 solve using elimination
    11·1 answer
  • What does N equal? I am stuck and need all the help I can get.
    8·1 answer
  • What is the 32nd term of the arithmetic sequence where<br> a1 = 14 and a13 = -58?
    10·1 answer
  • What is the estimation of 94,903?
    5·2 answers
  • Plz Answer This Mathematics Question??? NEED HELP ASAP
    9·2 answers
  • What is the sum of the solutions of the 2 equations below?
    7·1 answer
  • Need help. i dont understand this!!!
    5·1 answer
  • How do you model a situation in which a function behaves differently over different parts of its domain?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!