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
dybincka [34]
3 years ago
13

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati toTampa. Suppose we believe that actua

l flight times are uniformly distributed between2 hours and 2 hours, 20 minutes.a. Show the graph of the probability density function for flight time.b. What is the probability that the flight will be no more than 5 minutes late?c. What is the probability that the flight will be more than 10 minutes late?d. What is the expected flight time?

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer:

a) The graph of the probability density function for flight time is shown below.

b) 1/2

c) 0

d) 130 minutes

Step-by-step explanation:

Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by

f(t)=\frac{1}{140-120}=\frac{1}{20} for t in [120, 140]

a) The graph of the probability density function for flight time is shown below.

Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.

b) The probability that the flight will be no more than 5 minutes late is given by

P(T \leq 125 + 5) = P(T \leq 130) = \int\limits_{120}^{130}\frac{1}{20}dt = \frac{1}{20}(130-120)= \frac{1}{20}(10) = \frac{1}{2}  

c) The probability that the flight will be more than 10 minutes late is given by

P(T \geq 125 + 10) = P(T \geq 135) = 0 because the probability density function is zero for t outside of [120, 140]

d) The expected flight time is given by E(T) = \frac{120+140}{2} = \frac{260}{2} = 130 minutes

You might be interested in
an artist agrees to paint a landscape painting at $0.30 per square inch. if the paint is 13 inches by 17 inches how much should
saw5 [17]
Width times length equals area so 13 times 17 equals 221 and multiply that by the price of each square inch so he should charge $66.30
7 0
3 years ago
Read 2 more answers
Ok since no one answered my previous question i don't wanna put to waste so f r ee p oi nts yeah
Zolol [24]

Answer:

yea its jaiashhsjajajsjs

6 0
3 years ago
Read 2 more answers
64% of 75 tiles it is percent pls help me
Ainat [17]
64% of 75 tiles is 48 tiles

because 0.64x75=48
3 0
3 years ago
ALGEBRA II HELP :/
elena-14-01-66 [18.8K]

Answer:

18

Step-by-step explanation:

f(x) = x³+4x²-8x-6

P(a) <=> P(x)

-2 | 1 4 -8 -6

|

| -2 -4 24

----------------------------

1 2 -12 18

4 0
3 years ago
PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp
KonstantinChe [14]
Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  <span><span>(a)   </span>What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³
<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
</span></span>volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

<span>Patrice decides to use the remaining wax to create a candle in the shape of a cube.<span>(c)   </span>To the nearest centimeter, what is the length of the side of the cube?
</span>
the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm
5 0
3 years ago
Other questions:
  • Evaluate 5x2−9 when x=−2
    14·1 answer
  • What is the value of x?
    11·2 answers
  • Range of f(x)=-(x-5)^2+9
    15·1 answer
  • Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.
    6·1 answer
  • Help plz 15. and 16. math<br>explain and answer is on side already
    15·1 answer
  • For each statement, write the null and alternative hypotheses. State which hypothesis represents the claim. 17. Evaluate the lim
    14·1 answer
  • Mary has a rectangular garden that measures 15 yards by 6 yards. One of the long sides runs along a wall, and Mary wishes to use
    13·1 answer
  • Try to solve this if you can​
    5·2 answers
  • What is the image of (2, 1) after a reflection over the x-axis?
    7·1 answer
  • Write the coordinate of A' after A (5.3) got reflected over the x-axis.​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!