EBook Problems Prob Basics - Revision history

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JayZzz: New page: == EBook Problems Set - Fundamentals== ===Problem 1=== In a large midwestern university with 30 different departments, t...

2008-11-23T01:14:07Z

New page: == EBook Problems Set - Fundamentals== ===Problem 1=== In a large midwestern university with 30 different departments, t...

New page

==[[EBook_Problems | EBook Problems Set]] - [[AP_Statistics_Curriculum_2007_Prob_Basics |Fundamentals]]==

===Problem 1===
In a large midwestern university with 30 different departments, the university is considering eliminating standardized scores from their admission requirements. The university wants to find out whether the students agree with this plan. They decide to randomly select 100 students from each department, send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling plan did they use?

*Choose one answer.

:''(a) Stratified random sampling''

:''(b) Simple random sampling''

:''(c) Multi-stage sampling''

:''(d) Cluster sampling''
{{hidden|Answer|(a)}}

===Problem 2===
It is believed that 5% of elementary school children have some kind of ADD (Attention Deficit Disorder). Researchers are hoping to track 60 or more of these students for several years. They decide to test 1500 first graders for this problem. What is the probability that they will find enough subjects for their study?

*Choose one answer.

:''(a) Cannot be calculated with the given data''

:''(b) More than 95%''

:''(c) Less than 5%''

:''(d) Between 70% to 80%''
{{hidden|Answer|(b)}}

===Problem 3===
A box contains 6 balls, where 2 are red, 2 are white, and 2 are blue. Four balls are picked at random, one at a time. Each time a ball is picked, the color is recorded, and the ball is put back in the box. If the first 3 balls are red, what color is the fourth ball most likely to be?

*Choose one answer.

:''(a) Red''

:''(b) White''

:''(c) Blue''

:''(d) Blue and white are equally likely and more likely than red.''

:''(e) Red, blue, and white are all equally likely.''
{{hidden|Answer|(e)}}

===Problem 4===

A coin is tossed 400 times and 170 heads are observed. This coin is

*Choose one answer.

:''(a) fair, because the probability of seeing that amount of heads or less is approximately 0.0013''

:''(b) neither fair or unfair. There is not enough information to determine that.''

:''(c) fair, because the probability of seeing that amount of heads or less is approximately 0.5''

:''(d) not fair, because the probability of seeing that amount of heads or less is close to 0.''
{{hidden|Answer|(d)}}

===Problem 5===

According to government data, 30% of single parents own a home. A study of the housing situation of single parents is based on a random sample of 400 single parents. What is the probability that the proportion of single parents owning a home in the sample is larger than 35%?

*Choose one answer.

:''(a) 1.3''

:''(b) 0.156''

:''(c) 0.23''

:''(d) None of the above''
{{hidden|Answer|(d)}}

===Problem 6===
A fair coin is tossed, and it lands heads up. The coin is to be tossed a second time. What is the probability that the second toss will also be a head?

*Choose one answer.

:''(a) 1/3

:''(b) 1/4

:''(c) Slightly less than 1/2

:''(d) Slightly more than 1/2

:''(e) 1/2
{{hidden|Answer|(e)}}

===Problem 7===
If a fair die is rolled eight times, which of the following ordered sequences of results, if any, is least likely to occur?

*Choose one answer.

:''(a) 2 1 4 3 1 5 4 6''

:''(b) 6 4 3 2 4 1 5 6''

:''(c) 2 3 4 5 6 1 2 3''

:''(d) All sequences are equally likely''

:''(e) 5 6 2 6 3 5 4 2''
{{hidden|Answer|(d)}}

===Problem 8===
When three fair dice are simultaneously thrown, which of the following results is most likely to be obtained?

*Choose one answer.

:''(a) All three results are equally likely.''

:''(b) A 5, a 3 and a 6 in any order''

:''(c) Two 5's and a 3''

:''(d) Three 5's''
{{hidden|Answer|(a)}}

===Problem 9===
The probability model below describes the number of repair calls that an appliance repair shop may receive during an hour:

{| border="1"
|-
| Repair calls || 0 || 1 || 2 || 3
|-
| P(x) || 0.1 || 0.3 || 0.4 || 0.2
|}

The probability that the number of repair calls is at least 2 is:

*Choose one answer.

:''(a) 0.8''

:''(b) 0.2''

:''(c) 0.4''

:''(d) 0.6''
{{hidden|Answer|(d)}}

← Older revision		Revision as of 20:32, 3 March 2020
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	* SOCR Home page: http://www.socr.ucla.edu		* SOCR Home page: http://www.socr.ucla.edu

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@@ Line 120: / Line 120: @@
 :''(d) Three 5's''
 {{hidden|Answer|(a)}}
 ===Problem 9===
 Shelly is going to flip a coin 50 times and record the percentage of heads she gets. Her friend Diane is going to flip a coin 10 times and record the percentage of heads she gets. Which person is more likely to get 20% or fewer heads?
@@ Line 156: / Line 134: @@
 {{hidden|Answer|(b)}}
-===Problem 11===
+===Problem 10===
 American males must register at a local post office when they turn 18. In addition to other information, the height of each male is obtained. The national average height for 18-year-old males is 69 inches (5 ft., 9 inches). Every day for one year, about 5 men registered at a small post office and about 50 men registered at a large post office. At the end of each day, a clerk at each post office computed and recorded the average height of the men who registered there that day.Which of the following predictions would you make regarding the number of days on which the average height for the day was more than 71 inches (5 ft., 11 inches)?
@@ Line 168: / Line 146: @@
 {{hidden|Answer|(a)}}
-===Problem 12===
+===Problem 11===
 A coin is tossed 400 times and 170 heads are observed. This coin is:
@@ Line 182: / Line 160: @@
 {{hidden|Answer(d)}}
-===Problem 13===
+===Problem 12===
 In craps played in American casinos, players may wager money against the casino (bank craps) on the outcome of one roll, or of a series of rolls of two dice. The sum of the two faces is the standard outcome of interest. How many outcomes constitute the sample space for the sum of the faces of one roll of two dice?
@@ Line 198: / Line 176: @@
 {{hidden|Answer|(c)}}
-===Problem 14===
+===Problem 13===
 If two events are independent, then they are automatically mutually exclusive.
@@ Line 208: / Line 186: @@
 {{hidden|Answer|(b)}}
-===Problem 15===
+===Problem 14===
 If two events are mutually exclusive, then the sums of their probabilities is 1.
@@ Line 218: / Line 196: @@
 {{hidden|Answer|(b)}}
-===Problem 16===
+===Problem 15===
 The sample space of an experiment is the set of all possible outcomes of that experiment.
@@ Line 228: / Line 206: @@
 {{hidden|Answer|(a)}}
-===Problem 17===
+===Problem 16===
 The concept of a sample space is only relevant for experiments with numerical outcomes.
@@ Line 238: / Line 216: @@
 {{hidden|Answer|(b)}}

@@ Line 237: / Line 237: @@
 :''(b) False
 {{hidden|Answer|(b)}}
 <hr>

← Older revision		Revision as of 08:43, 21 December 2008
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	{{hidden\|Answer(d)}}		{{hidden\|Answer(d)}}

		+	===Problem 13===
		+	In craps played in American casinos, players may wager money against the casino (bank craps) on the outcome of one roll, or of a series of rolls of two dice. The sum of the two faces is the standard outcome of interest. How many outcomes constitute the sample space for the sum of the faces of one roll of two dice?
		+
		+	*Choose one answer.
		+
		+	:''(a) 12
		+
		+	:''(b) 6
		+
		+	:''(c) 11
		+
		+	:''(d) 36
		+
		+	:''(e) 21
		+	{{hidden\|Answer\|(c)}}
		+
		+	===Problem 14===
		+	If two events are independent, then they are automatically mutually exclusive.
		+
		+	*Choose one answer.
		+
		+	:''(a) True
		+
		+	:''(b) False
		+	{{hidden\|Answer\|(b)}}
		+
		+	===Problem 15===
		+	If two events are mutually exclusive, then the sums of their probabilities is 1.
		+
		+	*Choose one answer.
		+
		+	:''(a) True
		+
		+	:''(b) False
		+	{{hidden\|Answer\|(b)}}
		+
		+	===Problem 16===
		+	The sample space of an experiment is the set of all possible outcomes of that experiment.
		+
		+	*Choose one answer.
		+
		+	:''(a) True
		+
		+	:''(b) False
		+	{{hidden\|Answer\|(a)}}
		+
		+	===Problem 17===
		+	The concept of a sample space is only relevant for experiments with numerical outcomes.
		+
		+	*Choose one answer.
		+
		+	:''(a) True
		+
		+	:''(b) False
		+	{{hidden\|Answer\|(b)}}

	<hr>		<hr>

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 :''(c) There is no basis for predicting which post office would have the greater number of days.
 {{hidden|Answer|(a)}}
 <hr>

@@ Line 143: / Line 143: @@
 :''(d) 0.6''
 {{hidden|Answer|(d)}}
 <hr>
-* [[AP_Statistics_Curriculum_2007_Prob_Basics | Back to Ebook]]
+* [[EBook | Back to Ebook]]
 * SOCR Home page: http://www.socr.ucla.edu
-{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=EBook_Problems_Prob_Basics}}
+{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php/EBook_Problems_Prob_Basics}}

← Older revision		Revision as of 19:46, 23 November 2008
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	* SOCR Home page: http://www.socr.ucla.edu		* SOCR Home page: http://www.socr.ucla.edu

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← Older revision		Revision as of 01:15, 23 November 2008
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	:''(d) 0.6''		:''(d) 0.6''
	{{hidden\|Answer\|(d)}}		{{hidden\|Answer\|(d)}}
		+
		+	<hr>
		+	* [[AP_Statistics_Curriculum_2007_EDA_Pics \| Back to Ebook]]
		+	* SOCR Home page: http://www.socr.ucla.edu
		+
		+	{{translate\|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=EBook_Problems_EDA_Pics}}