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
Bumek [7]
3 years ago
12

A team of researchers published an article on the study of how vehicles are dispatched based on an airport-based taxi service. T

he researchers modeled this system with an underlying assumption that travel times of successive trips to and from the terminal are independent exponentially distributed random variables with β = 15 minutes. (a) Find the mean and standard deviation of trip time distribution (b) How likely is it for a particular trip to take more than 25 minutes? (c) If two taxis are dispatched together, what is the probability that both of them will be gone for more than 25 minutes? (d) what is the likelihood of at least of one of the taxis returning within 25?
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:

a. The mean would be 0.067

The standard deviation would be 0.285

b. Would be of 1-e∧-375

c. The probability that both of them will be gone for more than 25 minutes is 1-e∧-187.5

d. The likelihood of at least of one of the taxis returning within 25 is 1-e∧-375

Step-by-step explanation:

a. According to the given data the mean and the standard deviation would be as follows:

mean=1/β=1/15=0.0666=0.067

standard deviation=√1/15=√0.067=0.285

b. To calculate How likely is it for a particular trip to take more than 25 minutes we would calculate the following:

p(x>25)=1-p(x≤25)

since f(x)=p(x≤x)=1-e∧-βx

p(x>25)=1-p(x≤25)=1-e∧-15x25=1-e∧-375

c. p(x>25/2)=1-p(x≤25/2)=1-e∧-15x25/2=1-e∧-187.5

d. p(x≥25)=1-e∧-15x25=1-e∧-375

You might be interested in
Help please and thank you!!!
Ghella [55]

Answer:

The slop is undifined cause ur basicly just falling cause theirs no x just straight down forever


8 0
3 years ago
Read 2 more answers
The container that holds the water for the football team is 1/6 full. After pouring in 14 gallons of water, it is 3/4 full. How
Galina-37 [17]

We solve the equation (1/6)x + 14 = (3/4)x, where x is the number of gallons;

We have 2x/12 + 168/12 = 9x/12;

2x + 168 = 9x;

168 = 7x;

x = 168 ÷ 7;

x = 24 gallons;


4 0
3 years ago
The___ of an angle is the ratio of the opposite leg length to the hypotenuse length.
ozzi
The answer would be sine
7 0
2 years ago
Read 2 more answers
PLEASE HELP AND SHOW WORK PLEASE.
Vaselesa [24]

Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.


The given Inequalities can be solved as,

5 - x > 7

-x > 7 - 5

-x > 2

x < -2

2x + 3 ≥ 13

2x ≥ 10

x ≥ 5

As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.

This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

4 0
2 years ago
Which pf the following show 2/8=1/4?
Maksim231197 [3]

Answer:

A

Step-by-step explanation:

Don't know every option makes sense.

I think I will go with A because the size of the shape remains the same.


//Not sure.

5 0
3 years ago
Other questions:
  • What are the roots of the equation?
    8·1 answer
  • Find y round to the nearest tenth
    13·1 answer
  • Easy pllsssssss help
    11·2 answers
  • Paige’s income statement for the month of December is shown. Paige monthly income statement for December. Total wages are 1,850
    5·1 answer
  • Multiplying a number by 2 two and then dividing by 3 is the same as multiplying by what number?
    15·1 answer
  • HELP WITH THIS WORD PROBLEM
    10·1 answer
  • 1. Simplify: (-9x3 + 4x2 – 5) - (14x2 - 10x - 3)<br> Show work please
    8·1 answer
  • If a designer sold 2,000 units of a dress with total sales of $190,000, what was the average price of the garment?
    15·1 answer
  • Drag numbers to the table so it shows a proportional relationship between x and y.
    8·2 answers
  • Slope = 1/2 goes through (2,6)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!