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10. The table below shows the results of a survey where participants were asked

ID: 3051336 • Letter: 1

Question

10. The table below shows the results of a survey where participants were asked if they are a Total Broncos fan and how many siblings they have. Use the table to answer the questions 10-12 3-5 6 or more 0-2 Broncos Fan Not A Broncos Fan Total Suppose we randomly select someone from the table: a. Find the probability that person is a Broncos fan. b. Find the probability that person is not a Broncos fan. c. Find the probability that person has 6 or more siblings. d. Find the probability that person has at least 3 siblings. e. Find the probability that person has at most 5 siblings. f. Find the probability that person is a Broncos fan and has 3-5 siblings g. Find the probability that person is not a Broncos fan and has 6 or more siblings. h. Find the probability that person is a Broncos fan or has 0-2 siblings.

Explanation / Answer

Solution:

( a )

probability that person is broncos fan = 14/24 = 0.5833

( b )

probability that the person is not a broncos fan = 10/24 = 0.4166

( c )

probability that the person has 6 or more siblings = 10/24 = 0.4166

( d )

probability that the person has atleast 3 siblings = 18/24 = 0.75

( e )

probability that the person has atmost 5 siblings = 14 / 24 = 0.5833

( f )

probability that the person is broncos fan and has 3-5 siblings = 6/24 = 0.25

( g )

probability that the person is not a broncos fan and has 6 or more siblings = 7/24 = 0.2916

( h )

probability that the person is a broncos fan or has 0-2 siblings = ( 1 + 5 + 6 +3 ) / 24 = 15/24 = 0.625

( i )

probability that the person is not a broncos fan or has 6 or more siblings = ( 1 + 2 + 7 +3 ) / 24

= 13/24 = 0.5416

0-2 3-5 6 or more total broncos fan 5 6 3 14 not a broncos fan 1 2 7 10 total 6 8 10 24
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