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
Over [174]
3 years ago
8

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A

sian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.5 and P(B) = 0.3. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. Since the events are independent, then A′ and B′ are not independent. Since the events are independent, then A′ and B′ are independent. Since the events are not independent, then A′ and B′ are mutually exclusive. Since the events are independent, then A′ and B′ are mutually exclusive. (b) What is the probability that at least one of the two projects will be successful? (c) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.)
Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65

= 0.1153846

= 0.115

You might be interested in
The table shows values for points on the graph of a linear function.
Anna [14]
(x2-x1)/(y2-y1)

(1+2)/(1-13)


3/-12


the slope of the graph is -1/4
8 0
3 years ago
The sum of two numbers is 48 and the difference is 20. what are the number?​
rosijanka [135]

Answer:

x = 34; y = 14

Step-by-step explanation:

Step 1: Make the equations

x + y = 48

x - y = 20

Step 2: Solve the equations

x + y = 48

x - y = 20

2x = 68

x = 34

34 + y = 48

y = 14

8 0
3 years ago
Find the slope of the line between (-7, -2) and (9, 4)
Rzqust [24]

Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

oh ma goawd he on x gaems mode

7 0
2 years ago
In how many ways can the letters in the word 'Combination' be arranged?
Shtirlitz [24]
It can be arranged in 4989600
8 0
3 years ago
A scale for a scale drawing is 10 cm: 1 mm which is larger the actual object or the scale drawing
Yanka [14]
Since 10 cm is bigger than 1 mm, the scale drawing is bigger

3 0
3 years ago
Other questions:
  • Kate yards half a mile to the library. How many yards dose she walk
    13·2 answers
  • 7 1/4 as a Improper Fraction. 2 4/5 as a Improper Fraction. Make sure you know it. Also make sure you explain. Thanks. :)
    6·2 answers
  • What is x+2=-x+-2? Can you plz do it step by step!
    15·1 answer
  • The cost of manufacturing lawn mowers is $12,320 in overhead costs and $396 per lawn mower in production costs. Marketing studie
    5·2 answers
  • What is the median weight of the fish
    11·2 answers
  • Given A = 1 /2 (b1 + b2)h, solve for h.
    7·1 answer
  • Gkfkdkfkfxnxnjdfjfjcjcjcjdckfkfkckxkckcjcncncncnc​
    9·1 answer
  • Evelyn's made a cake in the shape of a circus tent the cake consisted of a cylinder and a cone .The height of the cone is half t
    7·1 answer
  • The diagram shows a convex polygon<br><br> solve for b
    15·1 answer
  • 3.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!