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
Yuri [45]
10 months ago
9

Airplanes arrive at a regional airport approximately once every 15 minutes. If the probability of arrivals is exponentially dist

ributed, the probability that a plane will arrive in less than 5 minutes is equal to 0.3333.
Mathematics
1 answer:
VARVARA [1.3K]10 months ago
4 0

The answer is 0.2835

Given: Airplane arrives once every 15 minutes,

So Expected duration (µ) = 15

The rate parameter (λ) = 1/µ = 1/15

What is the expected duration (µ)?

Expected duration is the duration between two events to occur.

What is the rate parameter in exponential distribution?

The rate parameter shows how quickly the decay of the exponential function occurs. It is given by the reciprocal of expected duration that is λ = 1/µ,

where λ is the rate parameter and µ is the expected duration.

Also given that the probability of arrivals is exponentially distributed.

How to find the probability for some value (x) less than for some Random variable (X) that is distributed exponentially?

The probability for some value (x) less than for some Random variable (X) is given by

P(X<x) = 1- e^(-λx),

where

X = Random variable

x = value of some given specified condition

λ = rate parameter.

In the question, "a plane arrives in less than 5 minutes" so x = 5.

Therefore,

P(X<5) = 1 - e^(-1/15.5)

= 1 – 0.716531

= 0.283469 ≈ 0.2835.

Hence, the probability that a plane arrives in less than 5 minutes is 0.2835

Learn more about "exponential probability distribution" here: brainly.com/question/22985880

#SPJ4

You might be interested in
The hypotenuse of a 30°-60°-90°
kramer

asdfghjklqwertyuiohcjbahckdsahcajdnc

3 0
2 years ago
Jesus joseph maryian christ, what is this math problem ? 25 points
maria [59]

Answer:

1,075,920,000,000 km³

5 0
2 years ago
Suzie made a mistake in the following problem. The mistake was made in Line ___. Only input the number of the first incorrect li
zalisa [80]

Answer:

Mistake in Line 2

Step-by-step explanation:

Line 1  

7(6) ÷ 5 + 42  

Line 2  

7(6) ÷ 5 + 16  

Line 3  

42 ÷ 5 + 16  

Line 4  

42 ÷ 21  

Line 5  

2

To simplify any expression we use order of operation

Line 1 is 7(6) ÷ 5 + 42  

Order of operation is PEMDAS

First we start with parenthesis

so we multiply 7(6) in line 2

7*6- 42

So Line 2 is 42 ÷ 5 + 42  

Hence there is a mistake in Line 2

3 0
3 years ago
What was Mia’s error? 83 + n = 110<br> 83 + 83 + n = 110 + 83 n=193
horrorfan [7]

Answer:

She added 83, instead of subtracting it.

In the second step it shows she adds it. Which is incorrect.

The correct answer is 27

4 0
3 years ago
Read 2 more answers
Jeremy’s fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 water
polet [3.4K]
We define the variables:
 p: cost of bushel of peaches
 w: cost of watermelon
 We wrote the system of equations:
 12p + 5w = 150
 15p + 8w = 198
 We can represent the system in matrix form as
 Ax = b
 
Where,
 A = [12 5; 15 8]
 
b = [150; 198]
 
x = [p; w]
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is 75/12 as a mixed number ?
    14·2 answers
  • Where is error hellp
    6·2 answers
  • What is the equivalent fraction of 56/8
    12·2 answers
  • Less common denominators for 7/10 2/5
    6·1 answer
  • QUICK!GIVING OUT BRAINLIEST
    10·1 answer
  • [ MATH, PLEASE HELP. WILL GIVE BRAINLIEST TO CORRECT ANSWER ]
    13·1 answer
  • A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is a hourly wage of $25. Optio
    10·1 answer
  • A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
    15·2 answers
  • What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?
    6·1 answer
  • AB is a straight line workout the size of angle X
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!