Respuesta :
Answer:
Step-by-step explanation:
Given
61% of all statistics classes require a statistical calculator.
29% require the use of a computer that has statistical software.
of the classes that require a statistical calculator 16% also require the use of a computer.
if statistics course is selected at random find probability of statistical calculator.
Events
A = calculator
O = computer
P(A) = 0.61
P(O) = 0.29
P(A and O) = 0.16*0.61 = 0.0976
if statistics course is selected at random find probability of statistical calculator.
Answer is part of information given : P(A) = 0.61
P(calculator | computer)
= P(A & O)/P(O)
= 0.0976/0.29
= 976/2900
= 244/725
(=0.33655 approx.)
p(computer given calculator)
P(O|A) = P(A & O)/P(A)
= 0.0976/0.61
= 976/6100
= 0.16 (as per given information)
Are they mutually exclusive (they means P(calculator | computer) and p(computer given calculator) ??)
They are not mutually exclusive.
They are referring to the same thing: classes that use both, BUT using a different sample space.
are they independent
They are not independent. If they are, the conditional probabilities would be both zero.
