Find the 1st and 3rd quartile and interquartile range for the following sequence: 3; 4; 65; 3; 65; 22; 4; 0; 1002; and 45. (SHOW YOUR WORK) Find the x̄ , median, mode, σ2, and σ for the following...

1. 
   

   Find the 1st and 3rd quartile and interquartile range for the following sequence: 3; 4; 65; 3; 65; 22; 4; 0; 1002; and 45. (SHOW YOUR WORK)

   
   


2. 
   

   Find the x̄ , median, mode, σ2, and σ for the following sequence: 3; 4; 65; 3; 65; 22; 4; 0; 1002; and 45. (SHOW YOUR WORK)

   
   


3. 
   

   If the σ of a variable x is 22.4, then what is the σ of 50 + 12.1x?

   
   


4. 
   

   Using the following information, what are the P(x), μ, and σ?

   
   

x Frequency

1. 
   

   0  55/n

   
   


2. 
   

   1  4/n

   
   


3. 
   

   2  6/n

   
   


4. 
   

   3  0/n

   
   


5. 
   

   4  9/n

   
   


6. 
   

   5  65/n

   
   


7. 
   

   6  44/n

   
   


8. 
   

   7  2/n

   
   


9. 
   

   8  1/n

   
   


10. 
    

    9  5/n

    
    


11. 
    

    10  34/n

    
    

Use the following information to answer the next two questions: The average number of times per week that Dr Cancio’s students answer texts during class is ten. We are interested in the number of times his students answer texts during class each week.

6. In words, the random variable X = _________________

a. the number of times Dr. Cancio’s students answer each week.
b. the number of times Dr. Cancio’s students answer each hour.
c. the number of times Dr. Cancio’s students answer each class session. d. the number of times Dr. Cancio’s students answer texts.

7. Find the probability that Dr. Cancio’s students will text no more than 3 times next week.

1. 
   

   A manufacturer of LED bulbs knows that 3% of its light bulbs are defective. Find the probability that 100 light bulbs contain at most four defective light bulbs using both the binomial and Poisson distributions.

   
   


2. 
   

   In one of its Spring catalogs, Aldos advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once.

   
   

   a. In words, define the random variable X.
   b. List the values that X may take on.
   c. Give the distribution of X. X ~ _____(_____,_____)
   d. How many pages do you expect to advertise footwear on them? e. Calculate the standard deviation.

   
   


3. 
   

   Suppose that the probability that a youth in Canada will watch the Stanley Cup is 40%. Each youth is considered independent. We are interested in the number of youth in Canada that we must survey until we find one who will watch the Stanley Cup.

   
   

   a. In words, define the random variable X.
   b. List the values that X may take on.
   c. Give the distribution of X. X ~ _____(_____,_____)
   d. How many youth in Canada do you expect to survey until you find one who will watch the Stanley Cup?
   e. Find the probability that you must ask seven youth.
   f. Find the probability that you must ask three or four youth.