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
kaheart [24]
3 years ago
6

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) = 0.8 and P(B) = 0.2.a. If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning.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:
Ede4ka [16]3 years ago
8 0

Answer:

a) P(B^c)=0.8

b) P(A∪B)=0.84

c) P=0.762

Step-by-step explanation:

Let A be the event that the Asian project is successful and B be the event that the European project is successful.  

We know that A and B are independent events with probability

P(A) = 0.8  

P(B) = 0.2

We know that

P(A∩B)=P(A)·P(B)=0.8·0.2=0.16

a) We know that A and B are independent events, we get

P(B^c)=1-P(B)=1-0.2=0.8

P(B^c)=0.8

b) P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=0.8+0.2-0.16

P(A∪B)=0.84

The probability that at least one of the two projects will be successful is  P(A∪B)=0.84

c)  If at least one of the two projects is successful, what is the probability that only the Asian project is successful. We calculate probability

P=\frac{P(A)-P(A∩B)}{ P(A∪B)}

P=(0.8-0.16)/0.84

P=0.64/0.84

P=0.762

You might be interested in
2y+8×=2 identify the table that would correctly graph this equation
lys-0071 [83]

We have

2y+8x=2

In order to obtain easily the table, we need to clear y

\begin{gathered} 2y=-8x+2 \\ y=\frac{-8x+2}{2} \\ y=-4x+1 \end{gathered}

then we evaluate for values of x

if x=0

y=-4(0)+1=1

y=1

if x=1

y=-4(1)+1=-3

y=3

if x=2

y=-4(2)+1=-7

y=-7

if x=3

y=-4(3)+1=-11

y=-11

So the table for the given equation is

x y

0 1

1 -3

2 -7

3 -11

3 0
1 year ago
Please Answerrr! I need help ASAPP!
MArishka [77]

80

Step-by-step explanation:

5×6 = 30 and 30×8 = 240 divide that by three you get 80

6 0
3 years ago
Please help me asappp! I'll give brainlest and points! ​
antiseptic1488 [7]

Answer:

1) true

2)true

3)false

4)true

5)true

6) false

7))true

8)true

9)false

10)false.

11)false

12)true

4 0
2 years ago
Read 2 more answers
Which polynomial is in standard form?
Tamiku [17]

Answer:

D). 5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

Step-by-step explanation:

For better clarity let us re write the options

A).2xy^3+3x^3y^4-4x^4y^5+9x^5y^6

B).8x^5-5y^4-2xy^5+x^2y

C).x^3y^2-3x^2y-9x^4y^3+11x

D).5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

To express polynomial with mixed variables in standard form, we begin by the highest coefficient of x to the smallest (we place high precedence on the coefficient  x terms)

5 0
3 years ago
How many different committees of 4 people can be chosen from a group of 21?
sdas [7]

Answer:

There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.

4 0
3 years ago
Other questions:
  • I need help is it A B C or D
    8·2 answers
  • keith is the leading goal scorer for a team in an hockey league. last season he scored 42 goals in 82 games. assuming he scores
    10·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST
    11·2 answers
  • Please does anyone know how to factorize x(x - 1) + 3x
    10·1 answer
  • If 3=7k and 7= m/2 then mk=
    10·1 answer
  • Flocabulary multplying fractions
    7·1 answer
  • Can someone please answer my question? i have been working on school work all day.
    9·1 answer
  • The lines represented by the equations by - x = 5 and y = { x = 1 are
    9·1 answer
  • 296.32 divided by 4= how to solve<br> pls
    7·2 answers
  • The Collins family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!