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According to a study, 45% of Americans get their license before they are 18 years old.  Suppose we randomly ask 20 individuals over the age of 18 if they got their license before they were 18 years old.  Let  X = the number of individuals who got their license before their 18th birthday.

  1. Create a probability table from the data.  You can simply copy the information from the table in the textbook.
  2. What is the probability that EXACTLY 11 of the 20 got their license before their 18th birthday?
  3. What is the probability that between 6 and 10 of the individuals asked got their license before their 18th birthday?
  4. What is the probability that at least 5 of the individuals asked got their license before their 18th birthday?
  5. How many of the 20 individuals asked can you EXPECT to have gotten their license before their 18th birthday?
  6. Does your answer to Question 5 make sense based on the Graph in Question 4?  Why?
  7. What is the Standard Deviation?
  8. What number of individuals out of the 20 would you consider to be UNUSUAL based on the problem?
 Oct 13, 2014

Best Answer 

 #1
avatar+23254 
+5

1) I don't know what the table in your textbook looks like.

    However, you can create this data by using this formula:  nCr·p^r·(1-p)^r    For instance, to find

       0 persons:  20C0·.45^0·.55^20

       1 person:    20C1·.45^1·.55^19

       2 persons:  20C2·.45^2·.55^18

       ...

       20 persons:  20C20·.45^20·.55^0

2)  Exactly 11:  20C11·.45^11·.55^9

3)  (assuming an exclusive between)  Between 6 and 10: find the values for exactly 7, 8, and 9 and add                                                                   them together.

4)  At least 5 (can be done two ways, one way is): Find the values of 5, 6, 7, ..., 20 and add them togehter.       (Can you find an easier way?)

5)  Similar to this question in the previous problem

6)  I have no idea what the graph is ...

7)  Standard deviation calculation is similar to the standard deviation calculation of the previous problem.

8)  Unusual -- similar to this question in the previous problem.

 Oct 13, 2014
 #1
avatar+23254 
+5
Best Answer

1) I don't know what the table in your textbook looks like.

    However, you can create this data by using this formula:  nCr·p^r·(1-p)^r    For instance, to find

       0 persons:  20C0·.45^0·.55^20

       1 person:    20C1·.45^1·.55^19

       2 persons:  20C2·.45^2·.55^18

       ...

       20 persons:  20C20·.45^20·.55^0

2)  Exactly 11:  20C11·.45^11·.55^9

3)  (assuming an exclusive between)  Between 6 and 10: find the values for exactly 7, 8, and 9 and add                                                                   them together.

4)  At least 5 (can be done two ways, one way is): Find the values of 5, 6, 7, ..., 20 and add them togehter.       (Can you find an easier way?)

5)  Similar to this question in the previous problem

6)  I have no idea what the graph is ...

7)  Standard deviation calculation is similar to the standard deviation calculation of the previous problem.

8)  Unusual -- similar to this question in the previous problem.

geno3141 Oct 13, 2014

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