Answer:
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
Step-by-step explanation:
The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.
Sample:
45 clients.
Of those, 21 expected to go on 3 vacations in the next year.
21/45 = 0.4667
Out of the 516 clients:
0.4667*516 = 240.8
Rounding up
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
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)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28B%29%2AP%28A%7CB%29%7D%7BP%28A%29%7D)
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](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.45)
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](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%200.14)
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](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.4%2A0.01%20%2B%200.45%2A0.14%20%2B%200.15%2A0.17%20%3D%200.0925)
What is the probability that the firm involved is firm B
![P(B|A) = \frac{0.45*0.14}{0.0925} = 0.6811](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B0.45%2A0.14%7D%7B0.0925%7D%20%3D%200.6811)
68.11% probability that the firm involved is firm B
Answer:
= 23
Step-by-step explanation:
(5) (5) - 2 ( multiply )
= 5 * 5 = 25
( subtract ) 25 - 2 = 23
Answer:b
c
a
Step-by-step explanation:
The missing numbers are 66 and76.