You may have to make a table to help you with this issue. Consider a PC test to show if you like Math 123 or disdain Math 123. If positive, you like the class and if negative you detest the class. In an illustration of 25 thousand people, 80% of the general population showed they favored the class. If the test is 85.5% exact, what are the chances that the test showed the individual despised Math 123, yet when in doubt they truly adored the course? Round your rate to 2 decimals.

Consider the going with advantage result table.

The prior probabilities for s1 and s2 are P(s1)=0.8 and P(s2)=0.2.

Domains of Nature

Decision Alternative s1 s2

d1 15 10

d2 10 12

d3 8 20

a. What is the ideal decision?

b. Find the EVPI.

- G- -

c. Accept that model information I is gotten, with P(I|s1)=0.20 and P(I|s2)=0.75. Find the back probabilities P(s1|I) and P(s2|I). Propose a decision alternative subject to these probabilities.

The amount of vehicles and the amount of SUV's going through the expense entrance of two frameworks is recorded. The results are showed up in the going with table:

Platform:

Vehicles:

SUV's:

Complete:

George Washington

120

106

226

Splendid Gate

94

136

230

Totals:

214

242

456

If one of these vehicles going over the augmentation is picked capriciously, choose the

probability that:

It is a vehicle b) it is going unbelievable Washington Bridge

c)It is a SUV, given that it is going strange Washington Bridge

d)It is going ludicrous Gate associate given that it is a vehicle.

You are a researcher analyzing the future of a particular kinds of microorganisms. A starter trial of 30 microorganisms reveals a model mean of

x

=

66

x=66

hours with a standard deviation of

s

=

5.4

s=5.4

hours. You should assess the mean future for this kinds of microorganisms to inside a space for give and take of 0.75 hours at a 99% level of sureness.

What test size would it be fitting for you to aggregate to achieve a 0.75 hour space for give and take? Assemble your response to the nearest whole number.

n = microorganisms

A child is playing with number squares. She has nine squares, numbered 1 through 9.

a) If she picks three squares aimlessly from the nine squares and sets them to the side, what is the probability that she picks the 1, 2, and the 3?

b) If she picks three squares aimlessly from the nine squares, and lines them up to make a three digit number, what number of possible three-digit numbers are there?