What are some of the 2 main reasons why a researcher may not be able to use the population for their study and instead use a sample?

A sample space is considered to be:

a. the set of all possible outcomes

b. the number of samples needed for an experiment

c. the number of samples taken from the population

d. the set of samples used in an experiment

Explain what is wrong with the following statements. Use complete sentences.

a. If there is a 60% chance of rain on Saturday and a 70% chance of rain on Sunday, then there is a 130% chance of rain over the weekend.

b. The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.

11.The table below givesthe number of suicides estimated in the U.S. for a recent year by age, race (black or white), and sex. We are interested in possible relationships between age, race, and sex. We will let suicide victims be our population.

Race and Sex 1-14 15-24 25-64 over 64 TOTALS

white, male 210 3,360 13,610 22,050

white, female 80 580 3,380 4,930

black, male 10 460 1,060 1,670

black, female 0 40 270 330

all others

TOTALS 310 4,650 18,780 29,760

Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.

• G= card drawn is green
• E= card drawn is even-numbered

1. List the sample space.
2. P(G) = _____
3. P(G|E) = _____
4. P(GANDE) = _____
5. P(GORE) = _____
6. AreGandEmutually exclusive?

The drug company Alcide wants to know if their disinfectant can reduce a certain percentage of bacteria between the amounts of 20-40 colonies per petri dish. The average disinfectant kills M=25 colonies with a s=7 colonies.

a. Write this out in probability notation.

b. Draw a curve, include the numbers and shade in the area that Alcide is interested finding out about.

c. Using the information above, what proportion of the cells will die between 20 and 40 colonies?

Hint!You will have to look at the unit normal table two times to be able to answer this question.