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
myrzilka [38]
3 years ago
7

A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15. From past experienc

es, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively. Suppose that a cost overrun is experienced by the agency. What is the probability that the firm involved is firm B
Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

68.11% probability that the firm involved is firm B

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Cost overrun

Event B: Agency B used.

A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15.

This means that P(B) = 0.45

From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively.

This means that P(A|B) = 0.14

Probability of cost overrun.

Firm A is used 40% of the time, with 1% of these having cost overrun. B is used 45%, with 14% of these having cost overruns. C is used 15% of the time, with 17% of these having cost overruns.

So

P(A) = 0.4*0.01 + 0.45*0.14 + 0.15*0.17 = 0.0925

What is the probability that the firm involved is firm B

P(B|A) = \frac{0.45*0.14}{0.0925} = 0.6811

68.11% probability that the firm involved is firm B

You might be interested in
I need help with give brainly
yan [13]
Since she dropped the penny, the initial velocity of the penny is zero.
4 0
3 years ago
At a store, Lauren selected a watermelon that weighed 38.4 ounces.
Mrrafil [7]

Answer:

$3.60

Step-by-step explanation:

1.50 ÷ 16 = 0.09375

there are 38.4 oz in laurens watermelon, so multiply the cost per ounce by the number of ounces to find the answer

0.09375 × 30.4 = 3.6

5 0
2 years ago
How many times can a 40-gallon barrel be filled from 5 casks, each holding 120 gallons?
Mariulka [41]

Answer:

It can be filled 15 times

Step-by-step explanation:

If 5 casks hold 120 gallons each,

5x120= 600

To find how many times a 40gallon barrel can be filled,

= 600/40

= 15

This means a 40 gallon barrel will be filled 15 times.

6 0
2 years ago
Read 2 more answers
Draw a double number line to solve the following rate problem.
IgorLugansk [536]
The ratio here is

  3/4 cup milk                                          6 cups milk
--------------------    Now equate this to    -----------------
 1 beaten egg                                                x

Solving this equation, (3/4)x = 6, and x = 8 (eggs)   (answer)


Check:  Note that 3/4    /    1    =   6  /   8
5 0
3 years ago
Read 2 more answers
an auto transport truck holds 12 cars. A car dealer plans to bring in 1150 new cars in June and July. If an auto transport truck
marusya05 [52]

Answer: 96 truckloads, 95 will be full, the last on will have 10 cars


Step-by-step explanation:  1150/12= 95.888> 95*12=1140, 1140+10=1150


6 0
3 years ago
Other questions:
  • Out of 40 coins, 16 are dimes. Half of the remaining coins are quarters and the rest are pennies and nickels. There are 2 nickel
    9·1 answer
  • WILL MARK YOU AS BRAINLIEST HELP PLZ
    10·1 answer
  • Two n-digit sequences of digits 0,1,. . . ,9 are said to be of the same type if the digits of one are a permutation of the digit
    5·1 answer
  • what is the coefficient of x^2y^3 in the expansion of (2x+y)^5? A. 2 B. 5 C. 40 D. 80 E. it does not exist
    12·1 answer
  • Which statements are true? Check all that apply.
    5·2 answers
  • Andi has 8 pounds of chocolate. If she wants to give each of her friends 1/3 of a pound of chocolate, how many friends can recei
    14·1 answer
  • It’s incorrect thanks a lot g
    7·1 answer
  • A group of 13 friends were planning a trip. On the night before they left they made a lot of phone calls. Each friend talked to
    9·1 answer
  • If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
    12·1 answer
  • Solve the linear system using the method of substitution
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!