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
Arianna bought 16 postcards during 4 days of vacation. How many days will Arianna have to spend on vacation before she will have
Stels [109]

Answer:5 days

Step-by-step explanation:

16 divided by 4=4 postcards a day

20 divided by 4=5

5 days in total

hope this helps . Please mark brainliest

5 0
3 years ago
If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
Alexandra [31]

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

SA=2(lb+bh+hl)

Where, l is length, b is breadth and h is height of the cuboid.

Putting SA=204.25,  l=10,\ b=x,\ h=6.5 in the above formula, we get

204.25=2(10\times x+x\times 6.5+6.5\times 10)

204.25=2(10x+6.5x+65)

204.25=2(16.5x+65)

Using distributive property, we get

204.25=2(16.5x)+2(65)

204.25=33x+130

204.25-130=33x

74.25=33x

Divide both sides by 33.

\dfrac{74.25}{33}=x

2.25=x

Therefore, the correct option is B.

7 0
2 years ago
BRAINIST &amp; 20 POINTS <br><br><br> *random answers will be reported*
kolezko [41]

Answer:

6-1

Step-by-step explanation:

3 0
2 years ago
What is six more than a number
sleet_krkn [62]

Answer:

6 numbers

Step-by-step explanation:

I’m pretty sure

8 0
3 years ago
Is 3 a divisor of 51?
Mariulka [41]
Answer:
Yes

Step by step explanation

5 0
2 years ago
Read 2 more answers
Other questions:
  • 1Anne is riding a horse which is tied to a pole with a 3.5 m piece of rope and her friend Laura is riding a donkey which is 2 m
    7·1 answer
  • Luz earns $400 for 40 hours of work. Use a ratio table to figure out how much she earns for 6 hours of work
    8·1 answer
  • Y varies directly as x and y = 10 when x =2.5 find y if x y = 80 cm.
    10·1 answer
  • What is the surface area of the cone? (Use 3.14 for π.)
    13·2 answers
  • Which represents the solution(s) of the equation x2 = 49?
    7·2 answers
  • The population of a country is 41291275.
    13·1 answer
  • Write and expression for the phrase, "8 less than k".
    13·2 answers
  • PLEASE HELP ASAP I WILL MARK BRAINLIEST!
    10·1 answer
  • How long does it take to pay off the higher-interest card?
    14·1 answer
  • If f(x) = 2x^2 – 3x + 1 and g(x) = x + 1, then<br> f(g(x)) =
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!