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
yarga [219]
3 years ago
5

Suppose you are at a train station in Connecticut. Trains headed to New York city arrive at the station at 15 minute intervals s

tarting at 7:00 am, whereas trains headed to Boston arrive at 15 minute intervals starting at 7:05 am.
Required:
a. If you arrive at a time uniformly distributed between 7 and 8 am, and then get on the first train that arrives (you love both cities!), what proportion of time do you end up in New York city?
b. What if you arrive at a time uniformly distributed between 7:10 and 8:10 am?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

a) For the person to get to New York city, the person must arrive at a time after the train to Boston has left and before the train to New York leaves. Between 7 and 8 am, there is a total of 60 minutes. For the person end up in New York city he has to arrive at the train station between the following intervals:

7:05 to 7:15 or 7:20 to 7:30 or 7:35 to 7:45 or 7:50 to 8:00

Let X represent the minutes the passenger arrives between 7 am to 8 am, hence:

P(goes to New York) = P(5 < X < 15) + P(20 < X < 30) + P(35 < X < 45) + P(50 < X < 60) = 10/60 + 10/60 + 10/60 + 10/60 = 40/60 = 2/3

b) As explained in part A, Let X represent the minutes the passenger arrives between 7 am to 8:10 am. But since time uniformly distributed between 7:10 and 8:10 am, this means 10 < X < 70:

For the person end up in New York city he has to arrive at the train station between the following intervals:

7:10 to 7:15 or 7:20 to 7:30 or 7:35 to 7:45 or 7:50 to 8:00 or 8:05 to 8:10

P(goes to New York) = P(10 < X < 15) + P(20 < X < 30) + P(35 < X < 45) + P(50 < X < 60) + P(65< X <70)= 5/60 + 10/60 + 10/60 + 10/60 + 10/60 + 5/60= 40/60 = 2/3

You might be interested in
2 1/4 case of crayons . Each case holds 24 boxes of crayons . Each box holds 8 crayons . How many crayons
Natasha2012 [34]

Answer:

432

Step-by-step explanation:

3 0
2 years ago
Approximate the value of 5 π
olya-2409 [2.1K]

Answer with explanation:

→π is an Irrational Number.

→Decimal Representation of π is non terminating non repeating.

\pi=\frac{\text{Circumference of Circle}}{\text{Diameter}}\\\\\pi =3.14\\\\ 5\pi =5 \times 3.14=15.70

⇒5 π =15.70

8 0
3 years ago
Read 2 more answers
Find the difference.
PSYCHO15rus [73]
D how much randall occured in january?
8 0
3 years ago
What is the difference between intersecting and perpendicular lines? Can two lines exist that are not intersecting or parallel?
sertanlavr [38]
Intersecting lines are lines that meet at some point while perpendicular lines are intersecting lines that makes a right angle at the point of intersection.

Two line can either be intersecting or perpendicular. It is not possible to have two line that is neither intersecting or parallel.
7 0
3 years ago
Which pair of lines are parallel? Need to show work
zaharov [31]

Answer:

E

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is -2•-11 equal to
    13·2 answers
  • I honestly don't know how to complete this problem. Please help may you include the steps also.
    10·1 answer
  • What is the gcf of 2,4a
    7·1 answer
  • -x+8y =20 find the value of y when x = -28
    6·1 answer
  • Jan has a 12 ounce milkshake. Four ounces in the milkshake are vanilla and the rest is chocolate.
    13·2 answers
  • What is the simplified value of the expression below? One-third divided by two-thirds 0 One-third One-half 1
    13·2 answers
  • What is the Mean Absolute Value?​
    13·2 answers
  • Carnival Cruise
    9·1 answer
  • There are 17 girls and 13 boys in a school club. What is the percent of the members are girls?
    6·1 answer
  • If x+3/3=y+2/2, then x/3=___
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!