1.What is the probability she passes both courses? Giveyour answer to four decim
ID: 2913899 • Letter: 1
Question
1.What is the probability she passes both courses? Giveyour answer to four decimal places.
2.Is the event she passes one course independent of the event thatshe passes the other course?
TRUE or FALSE
3.What is the probability she does not pass either course? Giveyour answer to four decimal places.
4.What is the probability she does not pass both courses? Give youranswer to four decimal places.
5.What is the probability she passes exactly one course? Give youranswer to four decimal places.
6.Given she passes the first course, what is the probability shepasses the second? Give your answer to four decimal places.
7.Given she passes the first course, what is the probability shedoes not pass the second? Give your answer to four decimalplaces.
Explanation / Answer
1.What is the probability she passes both courses? Give youranswer to four decimal places. P(first course) * P(second course) = .74 *.77 = .5698 2.Is the event she passes one course independent of the eventthat she passes the other course?TRUE or FALSE
TRUE 3.What is the probability she does not pass either course?Give your answer to four decimal places.
~P(first course) * ~P(second course) = (1 - .74) * (1 - .77)= .0598 Or ~P(passing at least one course) = (1 - .9402) =.0598 (~ => not) 4.What is the probability she does not pass both courses? Giveyour answer to four decimal places. ~P(passing both courses) = (1 - .5698) = .4302 5.What is the probability she passes exactly one course? Giveyour answer to four decimal places. (.77) * (1 - .74) + (.74) * (1 - .77) = .3704 or (1 - (P(passing both) + P(passing neither)) = 1 -(5698 + .0598) = 1 - .6298 = .3704
6.Given she passes the first course, what is the probability shepasses the second? Give your answer to four decimal places. P(second course) = .7700 (The events areindependant) 7.Given she passes the first course, what is the probabilityshe does not pass the second? Give your answer to four decimalplaces. ~P(second course) = 1 - .7700 = .2300
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