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
What is 9/31 simplified?
astra-53 [7]
It cant be simplfied.
4 0
3 years ago
Read 2 more answers
Can you help me please ​
ikadub [295]
I think the second one but I’m not sure
7 0
3 years ago
Read 2 more answers
How do you write 72 in inches
Reptile [31]
72 what in inches? please clarify
7 0
3 years ago
At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 mL of blood per beat. Blood has a densi
Kaylis [27]

Answer:

There is approximately 5.475 liters of blood in the body.

Step-by-step explanation:

At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 ml of blood per beat.

73 ml in liters = 73\times0.001=0.073 liters

Now, 75 beats/min x  0.073 liters/beat  = 5.475 liters/min

And 5.475 liters/min x 1 min/body = 5.475 liters/body

Hence, there is approximately 5.475 liters of blood in the body.

7 0
3 years ago
Suppose that you're making an inventory of mule deer
schepotkina [342]
Them u get to have a bunch of mule deer that may become all grown up to a world ruled by donald trump
4 0
3 years ago
Other questions:
  • For every bag of trail mix the local Scout Guide troop sells,they earn $0.45. write an expression to represent this situation.
    9·1 answer
  • 5 pounds of apples costs $7.45 . what is the dependent and the independent variables
    9·1 answer
  • You roll a fair 6 sided die what is p roll an even number
    12·1 answer
  • The Cartesian coordinates of a point are given. (a) (4, −4)(i) Find polar coordinates (r, θ) of the point, where r &gt; 0 and 0
    9·1 answer
  • Sam's test scores increase proportionally by 5 points for each hour she spends studying. How many points would her score increas
    10·2 answers
  • how many solutions does this equation have ? 9z + 10 = 1 – 15 + 3z A. no solutions B. infinitely many solutions C. one solution
    9·1 answer
  • The day after Halloween candy was marked down 40% which expression represents the new retail price
    15·1 answer
  • I WILL GIVE BRAINLIEST!! {y=−x+3y=x+5 What is the solution for this system of equations? Enter your answer in the boxes.
    7·2 answers
  • Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
    13·1 answer
  • Solve the following equation for x.x^2−47=17List your answers separated by a comma, not using a ± sign and do not include x= in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!