STA201 WEEK 6 HOMEWORK SECTION 5.1 5.2 5.3 AND 5.4

Section 5.1

12. Which of the following numbers could be the probability of an event?

1.5, 1/2, 3/4, 2/3, 0, -1/4

34. More Genetics

(a) List the possible geneotypes of their offspring.

(b) What is the probability that the offspring will not have Huntington's disease?

In other words, what is the probability that the offspring will have genotype ss?

Interpret this probability.

40. Which of the assignments of probabilities should be used if the coin is known to be fair?

48. Classifying Probability

(a) The probability of having eight girls in an eight-child family is 0.390652?

(b) On the basis of a survey of 1000 families with eight children, the probability of a family having eight girls is 0.54%? Empirical

(c ) According to a sports analyst, the probability that the Chicago Bears will win their next game is about 30%? Subjective

(d) On the basis of Clinical trials, the probability of efficacy of a new drug is 75%?

Section 5.2

26. Doctorates Conferred

(a) Verify that this is a probabilty model. than 0; (2) the sum of all events equals 1.

(b) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science or life science?

Interpret this probability.

(c ) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science, life science, mathematics, or computer science?

Interpret this probability.

(d) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 did not study mathematics?

Interpret this probability.

32. A Deck of Cards

(a) Compute the probability of randomly selecting a two or three from a deck of cards.

(b) Compute the probability of randomly selecting a two or three or four from a deck of cards.

(c ) Compute the probability of randomly selecting a two or club from a deck of cards.

Section 5.3

8. Determine whether the events E and F are independent or dependent. Justify your answer.

(a) E: The battery in your cell phone is dead.

F: The batteries in your calculator are dead.

(b) E: Your favorite color is blue.

F: Your friend's favorite hobby is fishing

(c ) E: You are late for school.

F: Your car runs out of gas.

18. Life Expectancy.

(a) What is the probability that two randomly selected 40-year-old females will live to be 41 years old.

(b) What is the probability that five randomly selected 40-year-old females will live to be 41 years old.

(c ) What is the probabily that at least one of five randomly selected 40-year-old frmales will not live to be 41 years old?

Would it be unusual if at least one of five randomly selected 40-year-old frmales did not live to be 41 yers old? Y

Section 5.4

In problems 5-10, find the value of each factorial.

6. 7!

In problems 11-18, find the value of each permutation.

12. 7P2

In Problems 19-26, find the value of each combination.

20. 9C2

APPLYING THE CONCEPTS

32. Clothing Options

A woman has five blouses and three skirts. Assuming that they all match, how many different outfits can she wear? 15

34. Arranging Students

In how many ways can 15 students be lined up?

46. Betting on the Perfecta

In how many ways can the top 2 horses finish in a 10-horse race?

52. Simple Random Sample

How many different simple random samples of size 7 can be obtained from a population whose size is 100? 100

56. DNA Sequences

How many distinguishable DNA sequences can be formed using one A, four Cs, three Gs, and four Ts.

62. Selecting a Committee

(a) What is the probability that the committee is composed of all Democrats?

(b) What is the probability that the committee is composed of all Republicans?

(c ) What is the probability that the committee is composed of three Democrats and four Rebulicans?

ocrats and four Rebulicans?