The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table below: On Off Low 0.51 0.19 Medium 0.13 0.02 High 0.09 0.06 Consider the following events and answer parts (a) through (d): A : {Low} B : {Off or Medium} C : {On and Low} D : {High} (a) P(A) = (i) 0.70 (ii) 0.32 (iii) 0.51 (iv) 0.73 (b) P(B) = (i) 0.42 (ii) 0.40 (iii) 0.92 (iv) 0.73 (c) P(BSD) = (i) 0 (ii) 0.51 (iii) 0.49 (iv) 0.55 (d) P(CTD) = (i) 0.51 (ii) 0.66 (iii) 1 (iv) 0 3
The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table below:
On Off
Low 0.51 0.19
Medium 0.13 0.02
High 0.09 0.06
Consider the following
A : {Low} B : {Off or Medium} C : {On and Low} D : {High} (a) P(A) =
(i) 0.70 (ii) 0.32 (iii) 0.51 (iv) 0.73
(b) P(B) =
(i) 0.42 (ii) 0.40 (iii) 0.92 (iv) 0.73
(c) P(BSD) =
(i) 0 (ii) 0.51 (iii) 0.49 (iv) 0.55
(d) P(CTD) =
(i) 0.51 (ii) 0.66 (iii) 1 (iv) 0 3
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