# MATH 221 Statistics for Decision Making Week 2 Homework

**MATH 221 Statistics for Decision Making ****Week 2 Homework**

MATH 221 Statistics for Decision Making Week 2 Homework

Question 1A student believes that there is a 90% probability of getting an A on the next test. This would be considered:

Manufactured probability

Subjective probability

Classical probability

Question 2Given the following information, find the probability that a randomly selected student will be tall, but not very tall. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21

50.5%

39.4%

10.1%

49.5%

Question 3Given the following information, find the probability that a randomly selected dog will be a golden retriever or a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38

46.9%

58.0%

39.5%

60.5%

Question 4Given that there is a 28% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

20.2%

14.5%

5.6%

34.7%

Question 5Consider the following table. What is the probability of blue?

Red Blue Green Total

Yes 33 44 14 91

No 18 5 28 51

Total 51 49 42 142

44/49

91/142

49/142

51/142

Question 6Consider the following table. What is probability of yes, given green?

Red Blue Green Total

Yes 33 44 14 91

No 18 5 28 51

Total 51 49 42 142

14/91

14/42

51/142

42/142

Question 7A card is randomly selected from a standard deck of 52 cards. What is P(heart)?

13/52

4/52

1/52

26/52

Question 8In a sample of 500 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

Homework Help:

2VE: Probabilities of drawing several from many without replacement (Links to an external site.) (1:35)

2DE. Probabilities of drawing several from many without replacement (Links to an external site.) (DOCX)

14.00%

7.80%

28.84%

7.84%

Question 9In a sample of 587 customers, 308 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?

52.47%

14.38%

14.45%

27.53%

Question 10One event is a father being right handed. The other event is that his daughter is right handed. How would you classify these events?

Independent

Dependent

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