Probability and Statistics — Test Answers

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Which probabilities are correct? Choose two correct answers.

A
cap p times open paren cap b divides cap A close paren is equal to 13 over 27
B
cap p times open paren cap c divides cap b close paren is equal to 8 over 27
C
cap p times cap c is equal to 3 sevenths
D
cap p times cap A is equal to 31 over 59
E
cap p times open paren cap A divides cap c close paren is equal to 2 thirds
25

Which statement is true about whether cap A and cap b are independent events?

A
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is equal to 0 point 7 5 and cap p times cap A is equal to 0 point 1 6 .
B
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A is equal to 0 point 7 5 .
C
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A is equal to 0 point 1 6 .
D
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is equal to 0 point 1 6 and cap p times cap A is equal to 0 point 7 5 .

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Probability and Statistics — Test Answers…