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
1. What is the formula for area of a circle?
Akimi4 [234]

Answer:

The area of a circle is pi times the radius squared (A = π r²).

Step-by-step explanation:

(I'm not sure how to explain this further)

Hope this helps!

-Coconut;)

5 0
3 years ago
What is the vertex form of this equation x^2-20x+91=7
lakkis [162]
Here’s the answers have a good one

4 0
3 years ago
Read 2 more answers
Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet
Mrrafil [7]
Rise over run 8\24 = 1/3
6 0
3 years ago
I need to know how to solve this
kirza4 [7]
No solution, the answer is no solution
5 0
3 years ago
In a school, two-fifths of the pupils are girls. how many pupils are there if 96 are boys
NikAS [45]
38.4 is the answer i think because u divide 96 by 5 then times it by 2 to get two fifths 
5 0
3 years ago
Other questions:
  • What is the value of the digit 4 in the number 524,897,123
    14·2 answers
  • Got stuck can someone help me
    15·1 answer
  • Eight less than four times a number is less then 56. What are the possible values of that number?
    5·2 answers
  • The sum of thwo numbers is 25. their difference is 7. find the numbers
    8·1 answer
  • 1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism
    15·1 answer
  • What angle pair is matched with ∠MLA to make alternate interior angles ?
    5·1 answer
  • Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x
    7·1 answer
  • A cargo plane flew to Moscow and back. It took six hours longer to go there than it did to come back. The average speed on the t
    15·1 answer
  • Clara hiked to the top of a mountain. She started the hike at 10:30 A.M. It took 2 hours and 45 minutes to get to the top of the
    11·1 answer
  • What number represents thr same amount as 3 hundreds + 4 tens + 16 ones
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!