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
sasho [114]
3 years ago
9

Let S be a sample space and E and F be events associated with S. Suppose that

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

a) P(E|F) = 0.5

b) P(F|E) = 0.167

c) P(E|F') = 0.625

d) P(E′|F′) = 0.375

Step-by-step explanation:

P(E) = 0.6

P(F) = 0.2

P(E n F) = 0.1

a) P(E|F) = Probability of E occurring, given F has already occurred. It is given mathematically as

P(E|F) = [P(E n F)]/P(F) = 0.1/0.2 = 0.5

b) P(F|E) = Probability of F occurring, given E has already occurred. It is given mathematically as

P(F|E) = [P(E n F)]/P(E) = 0.1/0.6 = 0.167

c) P(E|F′) = Probability of E occurring, given F did not occur. It is given mathematically as

P(E|F') = [P(E n F')]/P(F')

But P(F') = 1 - P(F) = 1 - 0.2 = 0.8

P(E n F') = P(E) - P(E n F) = 0.6 - 0.1 = 0.5

P(E|F') = 0.5/0.8 = 0.625

d) P(E′|F′) = [P(E' n F')]/P(F')

P(F') = 0.8, P(Universal set) = P(U) = 1

P(E' n F') = P(U) - [P(E n F') + P(E' n F) + P(E n F) = 1 - (0.5 + 0.1 + 0.1) = 0.3

P(E′|F′) = 0.3/0.8 = 0.375

You might be interested in
How do u find this area??
alexandr1967 [171]

Answer:

you multiply

Step-by-step explanation:

multiple all the sides

3 0
3 years ago
Read 2 more answers
there is also a D is its not any just say none so i know its d pls dont joke ima get kicked out the class is i dont do good​
Monica [59]

Answer:

b

Step-by-step explanation:

son

8 0
3 years ago
URGENT!!!
Makovka662 [10]

Answer:

Train A - 50 miles per hour

train B - 30 miles per hour

Step-by-step explanation:

Let x mph be the speed of the train B, then the speed of the train A is (x+20) mph.

In 3 hours,

  • train A travels 3(x+20) miles
  • train B travels 3x miles

In total, they covered the distance of 240 miles, so

3(x+20)+3x=240\ \ \ \text{[Divide by 3]}\\ \\x+20+x=80\\ \\2x=80-20\\ \\2x=60\\ \\x=30\ mph\\ \\x+20=30+20=50\ mph

8 0
3 years ago
Help please I’ve been looking online for help but couldn’t find any.
alexandr1967 [171]
5 is 33 because the question ends up being 14+3+16
4 0
3 years ago
Another Algebra problem i am too stupid to do
VARVARA [1.3K]
5 (x+4) ...................
8 0
3 years ago
Other questions:
  • Need help with number 12. Thanks
    11·1 answer
  • A population of flies, P, over a given amount of time, x, is modeled by the expression
    9·1 answer
  • Find the x- and y- intercepts of the graph of each equation. 2x+3y=6
    7·1 answer
  • DON'T IGNORE
    5·1 answer
  • Please find the length of AB. :)
    13·1 answer
  • Aden invested $300 at a rate of 3%. How many years would it take to earn $18 in interest?
    14·1 answer
  • Need help on this asap please:)
    13·1 answer
  • A train travels 300kn in 6 hours. How long will it take to complete a journey of 550km?
    5·1 answer
  • 20 Points PLEASE HELP
    14·2 answers
  • If Jose earned 145.60 for 7 hours, how many hours would he have to work to earn $83.20?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!