The table below displays results from experiments with polygraph instruments. Find P(subject lied negative test result). Compare this result with the probability of selecting a subject with a negative test result, given that the subject lied. Are P(subject lied negative test result) and P(negative test result subject lied) equal?
Did the Subject Actually Lie?
No (Did Not Lie) Yes (Lied)
Positive test results
13
40
Negative test results
32
P(subject lied negative test result) = 0.220 (Round to three decimal places as needed.)
Find the probability of selecting a subject with a negative test result, given that the subject lied.
P(negative test result | subject lied) - (Round to three decimal places as needed )

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2