After an introductory statistics course, 75% of students can successfully construct box plots. Of those who can construct box plots, 80% passed, while only 64% of those students who could not construct box plots passed. (a) Calculate the probability that a student can construct box plots and passed. 0.853333333 (b) Calculate the probability that a student can construct box plots and did not pass.

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Box Plots
After an introductory statistics
course, 75% of students can
successfully construct box plots. Of
those who can construct box plots,
80% passed, while only 64% of those
students who could not construct
box plots passed.
(a) Calculate the probability that a
student can construct box plots and
passed. 0.853333333
(b) Calculate the probability that a
student can construct box plots and
did not pass.
(c) Calculate the probability that a
student cannot construct box plots
and passed.
(d) Calculate the probability that a
student cannot construct box plots
and did not pass.
(e) Calculate the probability that a
student is able to construct a box plot
if it is known that they passed.
Transcribed Image Text:Box Plots After an introductory statistics course, 75% of students can successfully construct box plots. Of those who can construct box plots, 80% passed, while only 64% of those students who could not construct box plots passed. (a) Calculate the probability that a student can construct box plots and passed. 0.853333333 (b) Calculate the probability that a student can construct box plots and did not pass. (c) Calculate the probability that a student cannot construct box plots and passed. (d) Calculate the probability that a student cannot construct box plots and did not pass. (e) Calculate the probability that a student is able to construct a box plot if it is known that they passed.
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