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n a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find:
(i) the number of people who read at least one of the newspapers.
(ii) the number of people who read exactly one newspaper.

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Priyanshu Patel
Priyanshu PatelLv10
7 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Diseases I and II are prevalent among people in a certain population. It is assumed that 10% of the population will contract disease I sometime during their lifetime, 15%will contract disease II eventually, and 3% will contract both diseases
Find the probability that a randomly chosen person from this population will contract at least one disease.
Find the probability that a randomly chosen person from this population will contract neither disease.
Find the probability that a randomly chosen person from this population will contract disease I but not disease II.

People enter a restaurant and check their hat at the coat check, but since the worker is new, he makes the mistake of throwing all the hats in a pile. When the patrons return to claim their hats at the end of the evening, the worker gives each person a random hat from the pile.Ā Ā 

1. What is the probability that no one receives their own hat back if there are only 2guests?

2. What is the probability that no one receives their own hat back if there are 3 guests?

3. What is the probability that no one receives their own hat back if there are 4 guests?

4. What is the probability that no one receives their own hat back if there are 8 guests?

5.What is the probability that no one receives their own hat back if there are 10 guests?

To solve, build a systematic method. For example, one way you could do it is by defining several events, where P_i = the number of ways of a person i to recive their hat correctly, and then the number of ways that at least one person to recive their hat is the union of P_1,...,P_n; finally, you can count this using inclusion/exlusion, then count the complement to finish the problem.Ā 

Ā 

APLIA STATISTICSĀ 

The results of the study are presented in the following data table. All scores are times necessary to complete the paper folding-task, recorded in seconds.Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā Ā 

Noise TypeĀ  Ā  Ā  Ā  Ā  Ā 

Participant Classical Music White Noise Nature Sounds Participant Totals Ā 
A 3.22 3.42 3.46 P=10.10 n= 5
B 3.27 3.31 3.35 P=9.93 k=3
C 3.47 3.93 3.69 P=11.09 N=15
D 3.43 3.91 3.74 P=11.08 G=53.33
E 3.35 4.16 3.82 P=11.33 Ā 
Ā  T = 16.74 T = 18.73 T = 18.06 Ā  Ā 
Ā  SS = 0.0441Ā  SS = 0.5286 S = 0.1575 Ā  Ā 

The three treatments in the experiment define three populations of interest. You use an ANOVA to test the hypothesis that the three population means are equal. Present the results of your analysis in the following ANOVA table by entering the missing df values df and selecting the correct values for the missing SS, MS andĀ  F entries. (Note: For best results, retain at least two additional points throughout your calculations. Depending on the order in whichĀ  you do these calculations and the number of digits you retain, you may find slight rounding differences in the last digit between your answers and the answer choices"

ANOVA

Source SS df MS F
Between treatments Ā  Ā  Ā  Ā 
Within treatments Ā  Ā  0.0609 Ā 
Between subjects Ā  Ā  0.1372 Ā 
Error Ā  Ā  Ā  Ā 
TotalĀ  Ā  14 Ā  Ā 

Ā 

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