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
Tanya [424]
3 years ago
7

A driver has three ways to get from one city to another. There is an 80 % chance of encountering atraffic jam given he is on rou

te A , a 60 % chance given he is on route B , and a 30 % chance given he is onroute C. Because of other factors, such as distance and speed limits , the driver uses route A 50 % of thetime and routes B and C each 25 % of the time. If the driver calls the dispatcher to inform him that he isin a traffic jam, find the probability that he selected route A
Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

The probability is 0.64

Step-by-step explanation:

What we want to calculate here is conditional probability.

Let P(A )= Probability of using route A = 50% = 0.5

Let P( B )= probability of using route B = 25% = 0.25

Let P (C )= probability of using route C = 25% = 0.25

Let T be the probability that he will be in a traffic Jam

The probability that he will be in a traffic Jam if he uses route A = 80%

Mathematically this is written as P( T | A) which is read as probability of T given A

so P( T | A) = 0.8

Same way for B and C which can be written as follows;

P( T | B) = 60% = 0.6

P( T | C) = 30% = 0.3

Now, what do we want to calculate?

He is in a traffic Jam, and we want to find the probability that he used route A. This means we want to find P(A) given T which can be written mathematically as P ( A | T)

We can find this using the other parameters and especially the equation below;

P ( A | T) = P(A) • P( T| A) / {P(A) • P ( T | A) + P(B)• P(T| B) + P(C) • P(T|C)

P( A | T) = (0.5 * 0.8)/ ( 0.5)(0.8) + (0.25)(0.6) + (0.25)(3) = 0.4/(0.4 + 0.75 + 0.075) = 0.4/0.625 = 0.64

You might be interested in
If the diagonal of a square is 11.3 meters, approximidley<br> what is the perimeter of the square?
Andrei [34K]

Answer:

About 9.6 meters

Step-by-step explanation:

Refer to attachment

8 0
3 years ago
More points for the swag people on here. Have a great day uhhh yeah wooo<br> anyways
BlackZzzverrR [31]

Answer:

tysm

swag is forever

6 0
3 years ago
Determine which ordered pairs are part of the solutions set for the inequality.(Hint - There may be more than 1 correct answer)"
Alisiya [41]
These ordered pairs<span> are in the </span>solution set<span> of the equation </span>x<span> > </span>y. ... (2<span>, </span>0<span>). </span>3(2<span>) + </span>2(0<span>) ≤ 6. 6 + </span>0<span> ≤ 6. 6 ≤ 6. (</span>4, −1<span>). </span>3(4<span>) + </span>2(−1) ≤ 6. 12 + (−2<span>) ≤ 6 ... </span>3<span>). </span>
6 0
3 years ago
Is -1.125 a real number?
pochemuha
-1.125=-1\frac{125}{1000}=-1\frac{1}{8}\ is\ real\ number
7 0
3 years ago
Read 2 more answers
Javier has basket of oranges and apples. The number of oranges is more than twice the number of apples in the basket. The differ
ser-zykov [4K]

Answer:

Its actually one solution it is solvable and only has one solution

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 mi
    8·2 answers
  • Simplify. –24 – 8 ÷ (–4) <br> A. –22 <br> B. –8 <br> C. –26 <br> D. 8
    14·2 answers
  • Debra is on the swim team. Each week she swims a total of 7000 meters. How many kilometers does she swim each week?
    8·1 answer
  • Amira has 3/4 of a bag of cat food. her cat eats 3/4 lbs of a bag per week
    14·1 answer
  • Solve the system of equations.
    13·2 answers
  • Is (-1,2) a solution of the graphed system if inequalities ​
    11·1 answer
  • PLSSSS HELPPP MEEEEEE
    10·1 answer
  • In fact, Jilly often looked forward to the warmth of the greenhouse and feeling the heat seep into her bones.
    5·1 answer
  • What is the least common multiple of 5 and 8?​
    11·1 answer
  • Mike wants to be elected president of the 7th-grade student council. he wants to determine his chance of winning the election. w
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!