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
guajiro [1.7K]
3 years ago
12

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi

nutes. A. What is the probability that a flight is more than 140 minutes?B. What is the distribution's mean? C. What is the distribution's standard deviation? D. What is the probability that a flight is less than 135 minutes?
Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

You might be interested in
If f(x) = 3^2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
timurjin [86]

Answer:

(f - g)(2) = 11

Step-by-step explanation:

f(x) = 3² + 1

g(x) = 1 - x

(f - g)(2) = f(2) - g(2)

f(2) = 9 + 1 = 10

g(2) = 1 - 2 = -1

10 - (-1) = 10 + 1 = 11

(f - g)(2) = 11

4 0
3 years ago
Ahhhhits due in 3 mins help!!
stiv31 [10]

Answer:

divide

Step-by-step explanation:

maybe this will help you because the answer sound like divide ok  maybe .

7 0
2 years ago
How can you represent a proportional relationship with an equation? PLS help me with an explanation.
earnstyle [38]

Answer:

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Step-by-step explanation:

hope this explains well, good luck !

8 0
2 years ago
Read 2 more answers
jenell wants to invest $5800 in a savings account that pays 6.6% simple interest. how long will it take for this investment to d
solong [7]
30.35 years so 31 years
5 0
2 years ago
What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we
kogti [31]

Answer:

x = - \frac{1}{2}, x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± \sqrt{49} = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = \frac{-2}{4} = - \frac{1}{2}

or

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - \frac{1}{2}

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0
3 years ago
Other questions:
  • (7+5) divide 6+10 to the power of 2
    10·2 answers
  • Give the equation f(X)=3/x-2
    5·1 answer
  • List the next four multiples of each fraction 1/4
    13·1 answer
  • Plz Help FAST!!! Proportional relationship Study Island
    5·1 answer
  • The picture is the question
    5·1 answer
  • There are 3 fourths as many cows as pigs on an animal farm. If there are 35 pigs and cows on the farm, how many of them are pigs
    6·1 answer
  • Determine when the cost of the two services will be the same amount, and what the price will be.
    10·1 answer
  • 6 wholes 1/5 - 5 wholes 1/4 + 3
    10·1 answer
  • Which size bottle of ketchup is the best deal with the lowest unit price?
    12·1 answer
  • If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nea
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!