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
777dan777 [17]
3 years ago
10

WILL MARK AS BRAINLIEST!!! 5. A 2011 study by The National Safety Council estimated that there are nearly 5.7 million traffic ac

cidents year. At least 28% of them involved distracted drivers using cell phones or texting. The data showed that 11% of drivers at any time are using cell phones . Car insurance companies base their policy rates on accident data that shows drivers have collisions approximately once every 19 years. That’s a 5.26% chance per year. Given what you know about probability, determine if cell phone use while driving and traffic accidents are related. Step A: Let DC = event that a randomly selected driver is using a cell phone. What is P(DC)? (1 point) Step B: Let TA = event that a randomly selected driver has a traffic accident. What is P(TA)? Hint: What is the probability on any given day? (1 point) Step C: How can you determine if cell phone use while driving and traffic accidents are related? (1 point) Step D: Given that the driver has an accident, what is the probability that the driver was distracted by a cell phone? Write this event with the correct conditional notation. (1 point) Step E: What is the probability that a randomly selected driver will be distracted by using a cell phone and have an accident? (2 points) Step F: For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent events? Explain your answer. (2 points)
Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

Step-by-step explanation:

Hello!

Regarding the reasons that traffic accidents occur:

28% are caused by distracted drivers using cell phones or texting

11% of the drivers' user their phones at any time

The probability of a driver having an accident is 5.26%

a)

DC = event that a randomly selected driver is using a cell phone.

P(DC)= 0.11

b)

TA = event that a randomly selected driver has a traffic accident.

P(TA)= 0.0526

c) and f)

If both events are related, i.e. dependent, then you would expect that the occurrence of one of these events will affect the probability of the other one. If they are not related, i.e. independent events, then their probabilities will not be affected by the occurrence of one or another:

If both events are independent P(TA|DC)= P(TA)

If they are dependent, then:

P(TA|DC)≠ P(TA)

P(TA|DC)= 0.28

P(TA)= 0.0526

As you can see the probability of the driver having an accident given that he was using the cell phone is different from the probability of the driver having an accident. This means that both events are related.

d) and e)

You have to calculate the probability that "the driver was distracted with the phone given that he had an accident", symbolically P(DC|TA)

P(DC|TA) = \frac{P(DCnTA)}{P(TA)}

P(TA|DC)= \frac{P(TAnDC}{P(DC)} ⇒ P(DC∩TA)= P(TA|DC)*P(DC)= 0.28 *  0.11= 0.0308

P(DC|TA) = \frac{0.0308}{0.0526}= 0.585= 0.59

I hope this helps!

You might be interested in
Please help i cant do it
Digiron [165]

Answer:

The first one is 59049. The second one is 32

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the value of the expression below when x equals 5?
astraxan [27]
The answer is B.

14 + 15x
14 + 15(5)
14 + 75
89
7 0
3 years ago
Read 2 more answers
Choose the fraction that has not been reduced 10-19, 15-16,19-38,21-34
BartSMP [9]
19/38 is not reduces. Numerator and denominator can be divided by 19.
It can be reduced to 1/2
4 0
3 years ago
Consider the system of equations: Equation 1: -2x + 3y=9 Equation 2 : -8.1 – 7y = 10 Before adding the equations together, which
diamong [38]

The first option :

Multiply the first equation by 8 and the second equation by 2

would not result in the elimination of the variables in this system

5 0
3 years ago
morty needs $480 to buy a Tv and stereo system for his room. he received $60 in cash for birthday presents. He plans to save $ 3
IgorLugansk [536]

Hey! So this is pretty straightforward. You're given all the information already and now you just have to do some calculations.

60 + 30w = 480

You can start by subtracting 60 from both sides

30w = 420

Now you need to get w by itself so you have to divide both sides by 30 and you will end up getting

w = 14!

It will take him 14 weeks to save up

6 0
3 years ago
Read 2 more answers
Other questions:
  • when the day began it was 23 f mid day it went up 15 and then dropped 19 by midnight what was the temperature at midnight?
    6·1 answer
  • Use substitution to solve the system of equations.
    13·1 answer
  • Find the volume of the shape​
    13·1 answer
  • If you go out to eat with friends and your meal was $ 72.50 , there is 6.75 % sales tax and you should tip the waiter 15 % . How
    5·1 answer
  • If f(x) =2x - 3, find the following<br><br> 1. f(-2)<br> 2. f(7)<br> 3. f(-4)
    9·1 answer
  • Which time unit measures a very short time interval?
    10·1 answer
  • In a group of 20 there are 7 boys what is the ratio of girls to boys?​
    11·1 answer
  • So if Johnny had 3×6 amount if dish soap. How much dish soap would he have?​
    5·1 answer
  • Shenhed finished his math assament in 3/8
    6·1 answer
  • The original selling price of a share of stock was d dollars. The selling price for a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!