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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

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What is the solution to the system of equations? Use the substitution method. {y=−2x+5 3x−4y=2
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5 0
3 years ago
Read 2 more answers
PLEASE HELP ME!<br> Find m∠FEC.<br><br> Answer Options:<br> A. 69<br> B. 50<br> C. 57<br> D. 37
Anna35 [415]

Answer:

Option (A)

Step-by-step explanation:

Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.

m(∠FEC) = \frac{1}{2}[m(\text{arc FC})-m(\text{arc})FD]

(15 + 6x)° = \frac{1}{2}[(24x - 6)^{\circ}-(9+7x)^{\circ}]

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17x - 12x = 30 + 15

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x = 9

m(∠FED) = (15 + 6x)

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Option (A) will be the correct option.

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Now look at the x coordinate of the point. Now we have:
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y=2|x|

Next the graph is shifted down 2 so add a negative two.
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I hope this helps!
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-HuronGirl
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3 years ago
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