Question

1.

The following table contains data from a study of two airlines which fly to Small Town, USA.

If a flight is selected at random, find the probability that the flight is on Upstate Airline given the flight is late. (Round answer to four decimals.)

2.

Use the table below to find the probability.

	Positive Test Result	Negative Test Result
Subject Uses Drugs	44 (True Positive)	6 (False Negative)
Subject is Not a Drug User	90 (False Positive)	860 (True Negative)

If 3 of the 1000 test subjects are randomly selected, find the probability that all had false negative results. Assume that the 3 selections are made with replacement. (Round to 9 decimals)

Answer 1

Data table of Problem no. 1 is missing

Solving Problem 2

2)

Given data

Let p = Probability of randomly selecting a False Negative subject from the 1000 subjects      
Then p = 6/1000 = 0.006      
3 subjects were selected at random with replacement fromt the 1000 subjects      
To find P(all 3 had false negative results)      
Since the selection is with replacement, the probability of selecting any of 3 subjects      
is not affected by the previous or future selection of subject      
P(all 3 had false negative results)      
= P(first subject is false negative) AND P(second subject is false negative) AND P(third subject is false negative)      
= p * p * p      
= 0.006 * 0.006 * 0.006      
= 0.000000216      
      
P(all 3 had false negative results) =    

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