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
AURORKA [14]
3 years ago
14

1. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully

learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
A worker learned the skill successfully. What is the probability that he was taught by method A?
2. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
What does a correct probability tree for this problem look like?

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

The probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

Step-by-step explanation:

(1)

The information provided is:

<em>A</em> = if method A is used

<em>B</em> = if method B is used

<em>S</em> = successfully learning the skill

P (A) = 0.75

P (B) = 0.25

P (S|A) = 0.80

P (S|B) = 0.95

Compute the probability that a worker was taught by method A given that he learned the skill successfully as follows:

P(A|S)=\frac{P(S|A)P(A)}{P(S|A)P(A)+P(S|B)P(B)}

            =\frac{0.80\times 0.75}{0.80\times 0.75+0.95\times 0.25}\\\\=\frac{0.60}{0.60+0.2375}\\\\=\frac{0.60}{0.8375}\\\\=0.716418\\\\\approx 0.72

Thus, the probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

(2)

The probability is attached below.

You might be interested in
The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a window. In paralle
Darina [25.2K]

Answer:

  A.) JH = 1 in

  B.) GH = 3/4 in

  C.) m∠F = 62°

  D.) m∠J = 118°

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, adjacent angles are supplementary, and opposite sides are congruent.

  A.) JH = FG = 1 in

  B.) GH = FJ = 3/4 in

  C.) m∠F = m∠H = 62°

  D.) m∠J = m∠G = 180° -62° = 118°

8 0
2 years ago
El abuelo del hijo de mi hermano es mi
hammer [34]
The grandfather would be your parents.Hope it helps :)
3 0
3 years ago
Just need help with 4. Please
konstantin123 [22]

Answer:

11 3/5*9*12 1/2=1,305

1,305 cubic meters

Hope I helped.

Step-by-step explanation:

6 0
3 years ago
Can you find the area of each rectangle and type the correct code? Please remember to type in ALL CAPS with no spaces. *
koban [17]

Answer:

we need a picture, or the rectangles

3 0
2 years ago
Simplify −(3p53q3)−5.
arsen [322]

Answer: -3p^53q^3-5

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • What is the LCM for 9, 12, 15
    13·2 answers
  • K = {(-3, -3), (-4, -4), (-5, -5), (-6, -6)} Is K a function and why? No, there is a limited number of ordered pairs in this lis
    15·1 answer
  • Verify by direct substitution that the given power series is a solution of the indicated differential equation. [Hint: For a pow
    9·1 answer
  • Help please I rlly need help
    6·2 answers
  • Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 TB = 1000 gigabytes, or about
    11·1 answer
  • Find x.<br><br> 2 √6<br> 6 √2<br> 12<br> 8
    12·2 answers
  • For the same food trailer mentioned in Example 1, explain how to find the experimental probability that the next order is two pi
    10·1 answer
  • Fourth grade level. Use mental math to find 7x53
    6·2 answers
  • I need answers for A -F
    15·1 answer
  • (-4)^2=
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!