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
stealth61 [152]
3 years ago
12

A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose

that P(A1) = 0.23, P(A2) = 0.25, P(A3) = 0.29, P(A1 ∩ A2) = 0.09, P(A1 ∩ A3) = 0.11, P(A2 ∩ A3) = 0.07, P(A1 ∩ A2 ∩ A3) = 0.02. Use the probabilities given above to compute the following probabilities, and explain in words the meaning of each one. (Round your answers to four decimal places.)
a. P(A2 | A1)
b. P(A2 ∩ A3 | A1)
c. P(A2 ∪ A3 | A1)
d. P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3)
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Step-by-step explanation:

The data below is what was provided in the question and it is what I solved the question with

P(A1) = 0.23

P(A2) = 0.25

P(A3) = 0.29

P(A1 n A2 ) = 0.09

P(A1 n A3) = 0.11

P(A2 n A3) = 0.07

P(A1 n A2 n A3) = 0.02

a

P(A2|A1) = P(A1 n A2)/P(A1)

= 0.09/0.23

= 0.3913

We have 39.13% confidence that event A2 will occur given that event A1 already occured

b.)

P(A3 n A3|A1) = P(A2 n A3)n A1)/P(A1)

= 0.02/0.23

= 0.08695

We have about 8.7% chance of events A2 and A3 occuring given that A1 already occured.

C.

P(A2 u A3|A1)

= P(A1 n A2)u(A1 n A3)/P(A1)

= P( A1 n A2) + P(A1 n A3) - P(A1 n A2 n A3) / P(A1)

= (0.09+0.11-0.02)/0.23

= 0.18/0.23

= 0.7826

We have 78.26% chance of A2 or A3 happening given that A1 has already occured.

You might be interested in
The described situation requires inference about a mean or means. Identify the response variable and whether the setting involve
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Hello!

The experiment was designed to proof if the physiological blind spot can be reduced with eye training.

One sample of n people was taken and the physiological blind spot was measured. After that, the people selected underwent 3 weeks of eye training and their physiological blind spot was measured again. At the end of the experiment you have two sets of data for the sample, let's call X₁: physiological blind spot of one person before taking eye training", the measurements were taken before the training will correspond to this variable, and X₂: physiological blind spot of one person after three weeks of eye training" the second measurements correspond to this variable.

In this type of situation, where only one sample is taken and both variables are measured to the same observational unit (there is a pair of observations for each person), the observations are dependant and the corresponding test is the paired samples t-test.

To analyze the information you need to create a new variable, usually symbolized as Xd, that will be the difference between X₁ and X₂.

So your response variable would be

Xd: "Difference between a physiological blind spot of one person before taking eye training and physiological blind spot of after three weeks of eye training"

Xd= X₁ - X₂

The study parameter will be the mean of the variable "difference" μd.

I hope it helps!

3 0
3 years ago
PLZZZ HELPPP ME ASAP!!!
Sonja [21]

Answer:

Not a function.

Does not pass vertical line test.

B.

Step-by-step explanation:

Something called a vertical line test is used to determine if a relation that has been graphed is a function or not.

We say if it passes then it is a function.

It will pass if you are able to draw infinitely many vertical lines covering the whole graph and each vertical line either touches your relation once or none.  

If a single vertical line that you draw touches more than once, then it isn't a function.

When I say draw, I don't mean you should physically do it, but more so imagine it.

Now this particular relation is not a function because I can find a vertical line that touches more than once.  Take the vertical line x=5 for example.

It will touch at (5,-6) and (5,6). You cannot have an x assigned to more than one y.

4 0
3 years ago
Millilitre are used to measure the large amount of volume
Marizza181 [45]

Answer:

false

Step-by-step explanation:

4 0
3 years ago
What is 36÷2/3×9×1/2
krok68 [10]

Answer:

1/3

Step-by-step explanation:

Simplify the following:

((36/2)/(3×9))/2

((36/2)/(3×9))/2 = 36/(3×9×2×2):

36/(3×9×2×2)

36/9 = (9×4)/9 = 4:

4/(3×2×2)

4/2 = (2×2)/2 = 2:

2/(3×2)

2/(3×2) = 2/2×1/3 = 1/3:

Answer: 1/3

6 0
3 years ago
Read 2 more answers
What is the measure of angle B in the triangle?
Marat540 [252]

180 - 120 = 60 \\ 60  - 16 = 44 \\ 44 \div 2 = 22
x is 22
hope this helps


8 0
3 years ago
Read 2 more answers
Other questions:
  • Intel estimates that about 12 quintillion transistors are shipped around the globe each year. If that represents 10,000 times th
    11·1 answer
  • Simplify -2(4f+6)+3(4f-6)
    12·1 answer
  • How do you write 11 /2 as a percentage?
    13·2 answers
  • What is an asymptote? ...?
    6·2 answers
  • PLEASE HELP ASAP. I WILL GIVE BRAINLIEST
    9·1 answer
  • Homy had a box of 100 coloured pencils.55 were green 23 were black 4 were yellow and the rest were red. Write these as a percent
    9·1 answer
  • Given the points below, are the two lines parallel, perpendicular, or neither.
    8·1 answer
  • Pls help 15x-17+3x-11=180
    7·2 answers
  • Ken went to a country fair and spent $5 on admission, %6.50 on games, and $7.21 on food. If he has $30 before he went to the fai
    9·1 answer
  • Homework
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!