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
Bozbehisbdhjsvsujsbsvwkhelpmenowbkfjfhdi
Lana71 [14]
Cuboid C is 4 and 4. Cuboid D is 2 and 4.
6 0
3 years ago
Solve for DG<br><br> 55 POINTS IN IT FOR YOU, ILL GIVE THANKS AND BRAINLIST
Y_Kistochka [10]

give me for free and il solve it take 20 min for me to solve

3 0
3 years ago
Read 2 more answers
The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h
Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

V=L*W*H

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

V=x^{3\ }+11x^2+20x-32

W=x-1

H=x+8

L=?

<u>Find the length of the box</u>

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

x=-8\\x=-4\\ x=1

so

x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)

therefore

<u>the answer is</u>

the length of the box is equal to (x+4)

8 0
3 years ago
Read 2 more answers
What is the value of x in x2-3x=28
charle [14.2K]

Answer:

x=-28

Step-by-step explanation:

2x-3x=-1x so if -1x=28 divide both sides by -1 so x= -28

5 0
3 years ago
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
djverab [1.8K]

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

5 0
3 years ago
Other questions:
  • What is 3/5 plus 3/8
    11·2 answers
  • Consider the following. x = t2 − 2t, y = t5, 1 ≤ t ≤ 4 Set up an integral that represents the length of the curve. 4 1 dt Use yo
    7·1 answer
  • Need help ASAP<br>simplify (√3)(5√3) <br>a.) 3^1/10 <br>b.) 3^3/5<br>c.) 3^9/10<br>d.) 3^7/10
    6·1 answer
  • A picture is to be mounted on a board.
    14·2 answers
  • Is the LCM ( least common multiple) of two numbers ( always,sometimes,never) the product of the two numbers?
    6·1 answer
  • Which of the following is a polynomial?
    9·1 answer
  • Pls help!!
    8·1 answer
  • 1. A cube's volume is 512 cubic units. What is the length of its edge?
    7·1 answer
  • Lian has $1.00 . She has only nickles and dimes. Lian has twice as many dimes and nickles
    14·2 answers
  • HELP PLEASE!!! I WILL<br> GIVE BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!