An association is defying three kinds of decisions for the purchasing of an intermittent thing. The prot

projection may depend upon the interest level. The payo

s for the conditions are given in the going with

table:

Solicitation

Decision High (s1) Medium (s2) Low (s3)

d1 60 50

d2 80 30

d3 100 70 10

1. If the prior probabilities are 0.3, 0.3, and 0.4, exclusively, what is the proposed decision?

Show all of the tallies and answer with a decision tree.

2. At each preseason bargains meeting, the VP of arrangements gives a true conviction re-

garding conceivable interest for the thing. The assumption for the VP have reliably

been either amazing (E) or by and large magnificent (G). Back probabilities are according to the accompanying.

P(V)=0.7; P(E)=0.3

P(s1jE)=0.34; P(s1jV)=0.2

P(s2jE)=0.32; P(s2jV)=0.26;

1 ) Suppose that the previous probability of low interest is reliably fixed to 0.4, give an affectability

assessment on various probabilities and give different circumstances with a practical.

In a get-together of 12 worldwide authorities, there are 3 from Africa, 4 from Asia and 5 from Europe. To coordinate at an opposition, 3 judges are picked unpredictably from the social affair. Find the probability that:

I. A judge is perused each terrain.

ii. Two mediators are perused Asia.

iii. All of the three authorities are perused a comparative landmass.

The Mathematics Department of the University of Louisville includes 8 instructors, 6 accomplice educators, 13 partner teachers.

I. What number of ways are there to pick 4 of any of the sorts of teachers?

ii. In what number of all likely instances of size 4, picked without replacement, will every sort of instructor be tended to?

iii. Check the probability of picking trial of size 4, picked without replacement, so every sort of educator is tended to?

Question # 9:

Expect that a mysterious expression for a PC structure must haveat least 8, anyway near 12 characters, where eachcharacter in the mysterious expression is a lowercase English letter,an promoted English letter, a digit, or one of the six specialcharacters , >, <, !, +, and =.

a) what number different passwords are available for thiscomputer structure?

b) what number of these passwords contain in any occasion one occurrenceof at any rate one of the six phenomenal characters?

- O- -

1. Use the method for your choice to choose the going with probabilities.

a. What is the probability of moving two 2s followed by one 6 on three moves of a sensible

pass on?

Answer: ____________

b. What is the probability of aimlessly picking a three-man board containing

absolutely of Americans from a pool of 12 British people and 18 Americans?

Answer: ____________

c. What is the probability of discretionarily meeting either a man or an American in a

bundle made out of 20 English women, 15 English men, 10 American women,

besides, 5 American men?

Answer: ____________

d. What is the probability of having four turbulent days in a row when the gauge calls

for a "20% chance of deluge" each day?

Answer: ____________