Morningstar tracks the total return for a huge number of basic resources. The going with table shows the full scale return and the amount of resources for four orders of normal resources.

Using the amount of resources as burdens, measure the weighted typical supreme return for the common backings covered by Morningstar.

Kind of Fund

Number of Funds

Complete Return (%)

Local Equity

1419

6.75

Overall Equity

2900

11.36

Specialty Stock

2621

4.65

Cross variety

9191

18.15

An examination contains 5 simple outcomes, with the going with probabilities:

e | Pr(e)

e1 | 0.1

e2 | 0.1

e3 | 0.2

e4 | 0.3

e5 | 0.3

If E = {e1,e2,e3} and F = {e2,e3,e4}, Pr(E and F) is

a. .50

b. .70

c. .67

d. .30

A particular contamination spoils one in each 200 people. A test used to perceive the disease in an individual is positive 90% of the time if the individual has the contamination and 8% of the time if the individual doesn't have the contamination. (This 8% result is known as a sham positive.) Let A be the event "the individual is polluted" and B be the event "the individual tests positive".

a) Find the probability that an individual has the contamination given that they have attempted positive, for instance find P(A|B). Round your reaction to the nearest tenth of a percent and do reject a percent sign.

P(A|B)= %

b) Find the probability that an individual doesn't have the disease given that they test negative, for instance find P(A'|B'). Round your reaction to the nearest tenth of a percent and do prohibit a percent sign.

P(A'|B') = %

counting the moving of two sensible dice. Answer the going with requests.

(1) What is the probability that the whole is 7, given that in any occasion one of the numbers moved is even?

(2) What is the probability that at any rate one number is even, given that the entire is 7?

(3) What is the probability that at any rate one number is even, given that the entire is 6?

Expect that the store stocks 40% brand A, 40 percent brand B, and the rest are brand X. Acknowledge further that 10% of brand A, 20 percent of brand B, and 35 percent of brand X will not give the amount of pages advanced. A customer buys a cartridge at self-assertive.

If the customer returns the cartridge since it doesn't give the amount of pages plugged, what is the probability that the cartridge was brand X?

the fundamental outcome is one of X and Y the ensuing outcome is one of An and B if the chief outcome is X, and one of A, B, and C if the essential outcome is Y.

Pr[X]=0.4Pr[X]=0.4

Pr[Y]=0.6Pr[Y]=0.6

Pr[A|X]=0.5Pr[A|X]=0.5

Pr[B|X]=0.5Pr[B|X]=0.5

Pr[A|Y]=0.3Pr[A|Y]=0.3

Pr[B|Y]=0.2Pr[B|Y]=0.2

Pr[C|Y]=0.5

''XIII''

(1) Pr[A]=

(2) Pr[X|A]=Pr[X|A]=

(3) Pr[Y|B]=

(4) Pr[B|Y]=