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
Yakvenalex [24]
3 years ago
14

EYEWITNESS TESTIMONY. A man was struck by a speeding taxi as he crossed the street. An eyewitness testified the taxi (which did

not stop) was blue. The man sued the Blue Cab company for his medical expenses. The city has only two cab companies, Blue Cab and Green Cab. Green Cab has 85% of all taxis in the city. At the trial, the man’s lawyer showed that the eyewitness is 80% reliable in identifying the color of taxis. That is, the eyewitness was able to identify the color of a taxi correctly 80% of the time, under conditions similar to those the night of the accident. The lawyer concludes that it is extremely likely that the man was hit by a Blue Cab taxi. Given the eyewitness’s testimony, what is the probability the man was hit by a Blue Cab taxi?
Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

The probability the man was hit by a Blue Cab taxi is 41%.

Step-by-step explanation:

In terms of bayesian probability, we have to calculate P(B|Wr), or, given the witness saw the right colour, the taxi is from the Blue Cab company.

According to Bayes

P(B|Wr) = P(Wr|B)*P(B)/P(Wr)

P(Wr|B) = 0,8

P(B) = 0.15

To calculate P(Wr), or the probability of the witness of guessing right, we have to consider the two possibilities:

1) The taxi is from Blue Cab (B) and the witness is right (Wr).

2) The taxi is from Green Cab (G) and the witness is wrong (Ww).

The total probality of guessing right is

P(B)*P(Wr) + P(G)*P(Ww) = 0.15*0.8 + 0.85*0.2 = 0.29

So we can calculate:

P(B|Wr) = P(Wr|B)*P(B)/P(Wr) = 0.8*0.15/0.29 = 0.41

The probability the man was hit by a Blue Cab taxi is 41%.

You might be interested in
A video rental store has 6,000 movies. One Friday, 3/5 of the movies were rented. How many movies were rented that Friday night?
AleksAgata [21]
6000/ 5 = 1200 x 3 =3600 movies
8 0
3 years ago
Read 2 more answers
Find m&lt;FOE<br>find m&lt;GOH<br><br> help! I'm super confused
vodka [1.7K]
Im not good at this, thought Ive done Geometry, But for the first one (180-70) which should be 110, and for the second one I would say 55.

5 0
3 years ago
Read 2 more answers
Create a equation for this exponential function
Evgen [1.6K]

Answer:

f(X) 70x49

Step-by-step explanation:

5 0
2 years ago
Simplify 10 divide 5 + 3 x 2.
mylen [45]

Answer:

d 8

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
You are hosting a convention for a charitable organization. You pay a rental fee of $28,500 for the convention center, plus you
Alexxandr [17]
You have to add the $51 to $13 and find the answer then divide the sum by $28,500
8 0
3 years ago
Read 2 more answers
Other questions:
  • Select all irrational numbers.
    6·1 answer
  • Order of operations with integers;<br> please include steps<br><br> 6- (-12) divided by 3
    11·2 answers
  • The circle shown has center o and radius 4. what is the area of the shaded region?
    7·1 answer
  • Solve by factoring 25x^2+1=10
    15·2 answers
  • In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in
    6·2 answers
  • A box weighs 90 grams. Write down, in terms of b, the weight of the boxes.
    11·1 answer
  • The area of a rectangular patio is 3x2 + 17x + 20 ft
    7·1 answer
  • Lola (from the Loud House) has two coins.
    6·2 answers
  • Q.<br><br>x ÷ 2 = 1.000.000.000<br>x = ?​
    10·1 answer
  • If a family had three kids, named Alice, Bob, and Carl. Assume that each is equally likely to be born; I.E., 1/3 chance for each
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!