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
slava [35]
3 years ago
11

Refer to the following information:

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

A: "Method A is used" and the probability of using it is P(A)= 0.75

B: "Method B is used" and its associated probability P(B)= 0.25

L: "The skill was learned"

"Learning the skill given that the method A is used" is a conditional probability, you can also say that "the skill was learned because method A was used", symbolically P(L/A)= 0.8

"Learning the skill given that method B is used" or "the skill was learned because method B was used", symbolically: P(L/B)= 0.95

1) Which of the following is the correct representation of the information that is provided to us?

Correct option: a.P(A)= .75, P(B) = .25, P(L |a) =. 80, P(L | B) = .95

2) What is the probability that a worker will learn the skill successfully?

You need to calculate the probability of L occuring, symbolically: P(L)

If you were to put all possible options in a contingency table:

A B Total

L P(A∩L) ; P(B∩L) ; P(A∩L) + P(B∩L) = P(L)

You can easily notice that the probability of learning the skill is the sum of the probabilities of "learning the skill and using method A" plus "learning the skill and using method B" These two intersections are unknown so first you apply the formula of conditional probability to find them out:

P(L/A)= P(A∩L)/P(A) ⇒ P(A∩L)= P(A)*P(L/A)= 0.75*0.80= 0.6

P(L/B)= P(B∩L)/P(B) ⇒ P(B∩L)= P(B)*P(L/B)= 0.25*0.95= 0.2375

P(L)= P(A∩L) + P(B∩L)= 0.6 + 0.2375= 0.8375

Correct option: e.P(L) = .75 * .80 + .25 * .95 = .8375

I hope you have a SUPER day!

You might be interested in
Solve<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20%2B%204%7D%7B2%7D%20%20%3D%209.5" id="TexFormula1" title=" \frac{3x
ELEN [110]
Answer: 5

Step by step:

(3x+4)/2 = 9.5
3x+4 = 9.5*2
3x+4 = 19
3x = 19 -4
3x = 15
x = 5

7 0
3 years ago
Read 2 more answers
Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys f
In-s [12.5K]

Answer:

P\text{Student will be from Kenilworth}\approx 0.256

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be 8+5+9+5+5+7=39

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}

P\text{Student will be from Kenilworth}=\frac{10}{39}

P\text{Student will be from Kenilworth}=0.2564102564

P\text{Student will be from Kenilworth}\approx 0.256

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.

7 0
3 years ago
If four lamps cost $120.00 what is the average cost per lamp?20.0025.0030.0035.0040.00
yanalaym [24]
The cost of 1 lamp is $30
4 0
3 years ago
Which represents the volume of the cylinder, in cubic units?<br><br> 120π<br> 130π<br> 300π<br> 325π
IrinaVladis [17]
Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
5 0
3 years ago
Read 2 more answers
Find the value of x in the following system of equations: 2x−3y=9x=4+y
Klio2033 [76]

Answer:

x = 4 - 1 = 3

Step-by-step explanation:

2(4 - y) + 3y = 9

8 - 2y + 3y =9

8 + y = 9

y = 1

3 0
3 years ago
Other questions:
  • Megan has already saved $18 and she earns $4 per hour working four hours on each Saturday and 3 hours on each Sunday. Rhoni has
    9·1 answer
  • Someone please help me, and it says find the value of x and y.
    13·1 answer
  • 2 times what number minus 3 is 5
    5·2 answers
  • 10 increased by what percent is 30
    13·2 answers
  • a type of bacteria in a petri dish doubles every hour. If there were 1073741824 bacteria after 24 hours, how many where there to
    5·1 answer
  • A television game show has 11 ​doors, of which the contestant must pick 3. Behind 3 of the doors are expensive​ cars, and behind
    6·1 answer
  • Complete the expression below to create an expression equal to 72 + 45<br> (8 + 5)
    6·1 answer
  • Find the lowest price you would have to pay in each of the following situations.
    15·1 answer
  • The radius of a cone is decreasing at a constant rate of 6 meters per minute. The volume remains a constant 154 cubic meters. At
    12·1 answer
  • Anna works at an electronics
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!