Below are the data collected for 440 people who stated which fast food restaurant they prefer for dinner.

Question

Below are the data collected for 440 people who stated which fast food restaurant they prefer for dinner.

 

WHERE TO EAT?

                   McDonalds (M)       Carl's Jr (C)        Panda Ex (P)        Burger King (B)          Total:

Adults (A)          40                       25                      16                          39 

Teens (T)           54                       17                      10                          69
Kids (K)             88                       23                       9                           50
Total                                                                                                                                      440

 

Answer the following question about the data. ROUND ALL ANSWERS TO THE THOUSANDTHS PLACE WHERE DECIMALS ARE NECESSARY.

 

1) What is the sample size?

2) P ( A ) = ?

3) P ( B ) = ?

4) P ( C or M ) = ?

5) P ( T and P ) = ?

6) P ( C or B ) = ?

7) P ( A and K ) = ?

8) P ( P or A ) = ?

Answer 1

1)   440

 

2)   120/440

 

3)   158/440

 

4)   Add the 6 numbers in the M and C columns and divide the total by 440.

 

5)  T and P intersect at 10.  So 10/440

 

6)  Like #4

 

7)  A and K do not intersect. You can't be a kid and an adult at the same time. So this probability = ?

 

8)  P(P) = 35/440    P(A)  = 120/440.  But some data values are in both P and A, so we have counted them twice...

    

     P (P or A) = P(P) + P(A) - P(P and A) = 35/440 + 120/440 - 16/440 = ?