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Suzie flies the Orient Express Airlines. There is one flight daily to her destin

ID: 3130159 • Letter: S

Question

Suzie flies the Orient Express Airlines. There is one flight daily to her destination city. The following table shows the probability distribution of late arrivals for that flight in the past month.

Number of hours late

# of days it occurred

0 to <3 hours

8

3 to <6 hours

11

6 to <9 hours

6

9 to <12 hours

4

12 to <15 hours

1

What is the average number of hours that a flight is late?

Number of hours late

# of days it occurred

0 to <3 hours

8

3 to <6 hours

11

6 to <9 hours

6

9 to <12 hours

4

12 to <15 hours

1

Explanation / Answer

We get the midpoints of each class, then consider this data set:

Thus,  
  
Mean = Sum(xf) / Sum(f) = 162/30 =   5.4 [ANSWER]

x f x f 1.5 8 12 4.5 11 49.5 7.5 6 45 10.5 4 42 13.5 1 13.5