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
kolezko [41]
2 years ago
12

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that

he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.51, and the probability that he must stop at least one of the two signals is 0.67.What is theprobability that he must stop.
a) At both signals?
b) At the first signal but not at the second one?
c) At exactly on signal?
Mathematics
1 answer:
tekilochka [14]2 years ago
7 0

Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

P_1 = P(X) - P(X∩Y)

P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

P_2 = P(Y) - P(X∩Y)

P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

P = P_1+P_2\\P=0.16+0.31\\P=0.47

You might be interested in
When solving an equation, Gabrielle's first step is shown below. Which property
Rashid [163]

Answer:

i think 2. division property of equality

distributive property of multiplication over addition

4 0
2 years ago
8x-11<3 solve the inequality please i need help now
Mamont248 [21]

Answer: if u where doing 8x-11 that would = -88

Step-by-step explanation:

6 0
3 years ago
How do i solve this?
vazorg [7]
Usually I would use my head, but you can use whatever you want.
3 0
2 years ago
Borrowed $250
Fittoniya [83]

Answer:

Total interest paid:

$83.73

Total payments:

$333.73

8 0
2 years ago
BRAINLIEST AND 50 POINTS GET IT QUICK
sergeinik [125]

Answer:

It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is 5.96 as a fraction
    7·1 answer
  • A bank manager wanted to​ double-check her claim that recent process improvements have reduced customer wait times to an average
    12·1 answer
  • Multiple choice again!a<br> expand?
    5·1 answer
  • Can someone please help
    12·2 answers
  • What 2 numbers add up to 2 and multiply to -24?
    6·1 answer
  • Apply the distributive property to create an equivalent expression<br><br> 7(4p + 2q +3r) =
    11·1 answer
  • Need help! What’s x, and what is the equation?
    7·1 answer
  • Please help <br> What is x=
    15·1 answer
  • X=-9;y=4;z=8<br> -7z - 8y +5z
    9·1 answer
  • Is {1, 3, 5} a subset of the set of odd integers?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!