In a previous year, the weights of the members of the San Francisco 49ers and th

Question

In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data were compiled into the following table.

Shirt#                  210                  211–250             251–290               > 290

1-33                     21                        5                           0                          0

34-66                   6                           18                        7                          4

66-99                   6                           12                        22                        5

Table 3.23

For the following, suppose that you randomly select one player from the 49ers or Cowboys.

Find the probability that his shirt number is from 1 to 33.

Find the probability that he weighs at most 210 pounds.

Find the probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds.

Find the probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds.

Find the probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210 pounds.

Explanation / Answer

1)

probability that his shirt number is from 1 to 33=26/106 =13/53

2)

probability that he weighs at most 210 pounds=33/106

3)

probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds

=21/106

4)

probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds

=(26+33-21)/106 =38/106=19/53

5)

probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210 pounds

=21/33 =7/11

shirt# <=210 211-250 251-290 >290 total 1-33 21 5 0 0 26 34-66 6 18 7 4 35 66-99 6 12 22 5 45 total 33 35 29 9 106

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