Estimating probability using cross tabulation


1.  A study of American Airlines flights showed that of 150 flights sampled, 108 were on time, 30 were late, and the rest were early.

A.  If we were to randomly choose an American Airlines flight, find out the probability that it would be on time?

B.  Randomly choose an American Airlines flight. Find out the probability that it is either on time or early?

C.  Randomly choose two independent American Airlines flights. Find out the probability that both of flights selected will be on time?

2. A random sample of 1000 people was taken. Each participant was cross-classified by their religious affiliation and their political affiliation. The study attempted to find if members of various religions tended to vote differently from each other. Express all answers as decimals rounded to 3 places.

 

Democrat(D)

Republican(R)

Independent(I)

Totals

Protestant (P)

310

360

60

730

Catholic (Ca)

120

69

11

200

Jewish (J)

29

13

8

50

Other (O)

10

6

4

20

Totals

469

448

83

1000

A.  Randomly select someone from the sample. Find out the probability that they're Jewish and Democrat?

B.  Randomly choose someone from the study. Given that they're Republican, find out the probability that they're Catholic?

C.  Find out the probability that someone from this study is either Democrat or Protestant?

d. Choose two people without replacement. Find out the probability that the first is the Catholic

And the second is Jewish

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Basic Statistics: Estimating probability using cross tabulation
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