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
wariber [46]
3 years ago
11

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

at he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

You might be interested in
Look at ABC period Which triangle is congruent to ABC by the asa
photoshop1234 [79]

i  need a photo  like stooooopidd


6 0
3 years ago
How to solve it I'm not very good at math and I want to improve my grades
faltersainse [42]
With the first problem: You always divide from the left, then the rigth. 2+246/6 = 246/6=41 41+2=43
3 0
3 years ago
Read 2 more answers
In a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful. What is the sample pro
SVETLANKA909090 [29]
Divide the number of respondents saying it was useful by the total number
63/85 = 0.74
8 0
3 years ago
Read 2 more answers
ASAP
DerKrebs [107]
25%

explanation:

3.5-2.8/2.8
0.7/2.8
0.25
25%
6 0
3 years ago
Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year. How much money will Kathleen ha
shusha [124]
Present value, P = 20
compounding interest per 6 months, i  = 0.025/2 = 0.0125
Number of periods, n = 30*2 = 60 (half-years)

Future value in 30 years
=P(1+i)^n
=20(1.0125)^60
= $42.14
5 0
3 years ago
Other questions:
  • PLEASE PLEASE PLEASE HELP ME
    7·1 answer
  • Please help, need to get this done quick!
    10·1 answer
  • Use an appropriate half-angle formula to find the exact value of the expression. cos 3π 8
    13·1 answer
  • Perpendicular segments are best described as being which of the following
    6·2 answers
  • The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the fol
    11·1 answer
  • Angle A and angle B are supplementary.The measure of angle B is 15∘ less than the measure of angle A.What is the measure of angl
    5·1 answer
  • A bainbridge mass spectrometer is used to separate
    5·1 answer
  • I'm struggling right now because I learned this but I completely forgot how to do it. I need to find the distance between two po
    11·1 answer
  • PLEASE WILL NAME BRAINLIST
    5·1 answer
  • Please help<br><br> -3/4(8n + 12) = 3(n-3)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!