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]
4 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]4 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
Shoutout to lester bc i know he's gonna answer this ;) !
MrMuchimi

Answer:

A (-3,9)

Step-by-step explanation:

ok easy they they us

R(2,1) and R'(-4,8)

subtract 6 from y and add 7 to y

ok lets solve for S'

S(3,2) now subtract 6 and add 7

(3,2)+(-6,7)

(-3,9)

5 0
3 years ago
16q3-48q2+32q what would be the steps on how to do this? please?​
Sholpan [36]

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

8 0
3 years ago
What is the area of the figure? <br>A. 18 yd<br>B. 54 yd<br>C. 72 yd<br>D. 90 yd​
velikii [3]
The correct answer is C

I solved by multiplying 9 x 5 and 3 x 9 and adding them.

Hope this helps
4 0
2 years ago
A goalie in a ice hockey game blocked 15 out of 21 shots on goals what is the experimental probability that he will block the ne
tamaranim1 [39]
It should be 15/21 I think       
7 0
4 years ago
Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per l
alexandr402 [8]

Step-by-step explanation:

Recognize youre finding the ratio between litres of gas per litres of oil

per always means a ratio

3.75L gas / 1.5L oil

simplify to get 2.5L gas / 1L oil

7 0
3 years ago
Other questions:
  • Solve the following equation for X: 1/2(5x+12)=2x-3 show your work
    14·1 answer
  • 119 kilometers per hour equals how many miles per hour
    13·1 answer
  • In human engineering and product design, it is important to consider the weights of people so that airplanes orelevators are not
    12·1 answer
  • Identify the radical expression of 61/4.
    9·2 answers
  • SOLVE THIS 2 PART QUESTION AND GET 50 POINTS AND BRAINLIEST!!!!!
    5·1 answer
  • Log (x+2) base 5- log (x) = log (2x-1) base 5 - log (3x-12) base 5
    8·1 answer
  • HELP PLEASE! WILL GIVE BRAINLESIT ​
    14·1 answer
  • Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas
    7·1 answer
  • Find the scale factor to map ΔABC onto ΔA′B′C′.
    10·1 answer
  • Question 1 (10points)<br><br> If<br> f (x) = x + 4, what is f (5)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!