Example 4: A fair six-sided die is rolled six times. If the face numbered k is the outcome on roll k for k = 1, 2, 3, 4, 5, 6 we say that a match has occurred. The experiment is called a success if at least one match occurs during the six trials. Otherwise, the experiment is called a failure. The outcome space is O = {success, failure}. Let event A = {success}. Which value has P(A)?

**This question has been posted a few times on here, but the answers were not good explanations**

Critical Thinking:

1- What is the value of questions that arise during an experiment process?

2- Why would it be a problem to use only on resource when conducting research for a scientific experiment?

3- A food scientist bakes one cookie dough sample at 350F for 13 minutes and a second sample at 375F for 11 minutes. What is the problem with the scientist's procedure?

4- What would happen if a researcher failed to realize a thermometer he was using has both Celsius and Fahrenheit scales?

5- Explain how the measurements for length and volume are related

Consider two independent experiments testing for two different and independent genetic mutations in rabbits. •

•Experiment A: Tests 12 rabbits for a mutation that occurs with probability 0.1. Let X be the number of these rabbits w/ this mutation.

• Experiment B: Tests 16 rabbits for a mutation that occurs with probability 0.25. Let Y be the number of these rabbits w/ this mutation.

(a) Compute P(X ≤ 6)

(b) Compute P(10 ≤ Y ).

(c) Compute the joint probability P(X = 4, Y = 6).

(d) Compute the joint probability P(X ≤ 3 and Y ≤ 4).

A) David, an undergraduate research assistant in our lab, performed Western Blotting experiment and he used anti- Z protein polyclonal antibody raised in rabbit as a primary antibody. As a secondary antibody, he used anti-mouse HRP labeled antibody. Could you please tell him what is wrong with this experiment?

B) David, an undergraduate intern in our lab, forget to block the blot with BSA and continue to the antibody hybridization steps and finally developed his blot. Could you please describe his blot picture without even looking!

1) What alkene(s) will be produced when each of the following alcohols is dehydrated?

Cyclopentanol

2-methyl-2-butanol

2) What is the purpose of adding 2% sodium carbonate solution to the distillate in Experiment A?

3) If 8.0 grams of cyclohexanol are used in Experiment A, add 5.5 grams of cyclohexene are produced, what is the percentage yield?

4) The dehydration of 3,3-dimethyl-2-butanol yields three different products. Write equations to show how carbocation rearrangements explain two of the products.

5) List four reagents that may be used as catalysts in the dehydration of alkenes.

(1) Consider the random experiment where three 6-sided dice are rolled and the number that comes up (1, 2, 3, 4, 5 or 6) on each die is observed.

(a) What is the size of the sample space S of this random experiment?

(b) Find the probability of event E1: “All three numbers rolled are the same.”

(c) Find the probability of event E2: “The sum of the three numbers rolled is 5.”

(d) Find the probability of event E3: “At least one 6 is rolled.” (Hint: it may help to first find the probability of the complementary event.)

Consider the following proposed relationships between an independent and a dependent variable. In each case, would it be realistic for a researcher to perform an experiment to test the theory? If yes, briefly describe what would be randomly assigned in the experiment; if no, briefly explain why not.

(a)​An individual’s level of religiosity (X) and his or her preferences for different political candidates (Y).

(b)​Exposure to negative political news (X) and political apathy (Y). 

(c)​Military service (X) and attitudes toward foreign policy (Y).

(d)​A speaker’s personal characteristics (X) and persuasiveness (Y).

Think yourself as a basic researcher and answer the questions below based on your developed model in Question 1.

a.  What would be the nature of the study that would be designed - Exploratory, descriptive, or hypothesis-testing?

b.  Give reasons for your answer to (a) above.

c.  Would it be a Field study, Comparative study, Lab experiment or Field experiment? Why?

d.  Would it be a causal or correlational study?

e.  Justify the reasons for your answer to (d).

f.   Would it be a longitudinal or cross-sectional study? Why?

h. What would be the unit of analysis? Why?

When 6.104 grams of a hydrocarbon, CxHy, were burned in a combustion analysis apparatus, 19.15 grams of CO2 and 7.842 grams of H2O were produced. In a separate experiment, the molar mass of the compound was found to be 28.05 g/mol. Determine the empirical formula and the molecular formula of the hydrocarbon.

A 7.797 gram sample of an organic compound containing C, H and O is analyzed by combustion analysis and 7.623 grams of CO₂ and 1.561 grams of H₂O are produced.
In a separate experiment, the molar mass is found to be 90.04 g/mol. Determine the empirical formula and the molecular formula of the organic compound.

When 6.104 grams of a hydrocarbon, CxHy, were burned in a combustion analysis apparatus, 19.15 grams of CO2 and 7.842 grams of H2O were produced. In a separate experiment, the molar mass of the compound was found to be 28.05 g/mol. Determine the empirical formula and the molecular formula of the hydrocarbon.

A 7.797 gram sample of an organic compound containing C, H and O is analyzed by combustion analysis and 7.623 grams of CO2 and 1.561 grams of H2O are produced. In a separate experiment, the molar mass is found to be 90.04 g/mol. Determine the empirical formula and the molecular formula of the organic compound.