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
Find the sum of the least and greatest two digit prime numbers whose digits are also prime?
adoni [48]
First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.

Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.

now we just need to add them for the sum:
23+79=102

hope I helped, and let me know if you have any questions :D
7 0
3 years ago
Which of the following is a proportion?
Anestetic [448]

Answer:

the first one

Step-by-step explanation:

because 4/6=2/3

2/3=6/9

so 4/6=6/9

6 0
2 years ago
Laura has a 5-digit combination lock on her briefcase and has forgotten the
TiliK225 [7]

Answer: 4000

Step-by-step explanation:

don’t have it just know that’s the answer

8 0
3 years ago
Which graph shows the solution to this system of inequalities?<br> y&gt;-1/3x+1<br> y&gt;2x-3
Mademuasel [1]

Given:

The system of inequalities is:

y>-\dfrac{1}{3}x+1

y>2x-3

To find:

The graph of the given system of inequalities.

Solution:

We have,

y>-\dfrac{1}{3}x+1

y>2x-3

The related equations are:

y=-\dfrac{1}{3}x+1

y=2x-3

Table of values for the given equations is:

    x                   y=-\dfrac{1}{3}x+1             y=2x-3

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of y=-\dfrac{1}{3}x+1.

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of y=2x-3.

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

6 0
2 years ago
You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It inclu
kozerog [31]

Answer:

The Customer Acquisition Cost for each customer in demographic group 1

The correct option is c

The Customer Acquisition Cost for Group 2

The  correct option is  b

Step-by-step explanation:

From the question we are told that

The marketing expenses per month for targeting the first group is E =  \$ 30,000

The marketing expenses per month for targeting the second group is F =  \$ 60,000

The number of customers for the demography of group 1 that will be attracted is N = 1000

The number of customers for the demography of group 2 that will be attracted is M = 1500

Generally the customer acquisition cost for group 1 is

K  =  \frac{E}{ N}

=>   K  =  \frac{30000}{ 1000}

=>   K  = \$ 30

Generally the customer acquisition cost for group 2 is

      Z  =  \frac{F}{ M}

=>   Z  =  \frac{60000}{ 1500}

=>   Z  = \$ 40  

8 0
3 years ago
Other questions:
  • Out of a total of 300 animal in a zoo 45 are bird's what percent of the animal in the zoo are bird's
    7·1 answer
  • Determine the fraction of the total interest owed after the fourth month of a 12 month loan
    15·1 answer
  • the two longer sides of a triangle measure 22 units and 29 units. which of the following is a possible length of the shortest si
    8·2 answers
  • In the equation below, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after july
    13·1 answer
  • Please Help!<br> Evaluate 5v+w for v=4 and w=16
    8·1 answer
  • 2/3 divided by -1 1/3
    9·2 answers
  • 18-3×5+32÷4 (show with procedure fast..)​
    10·2 answers
  • What is sixteen minus two point two?
    15·2 answers
  • Which of the following values is the solution of x/32=8?<br> a 24<br> b 40<br> c 256<br> d 4
    8·1 answer
  • A nutritionist wants to know how the taste of artificial sweeteners impacts food choices of diabetic patients. From which group
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!