If a and b are mutually exclusive then: (a) p(a/b) = 0 (b) p(a/b) =p(b) (c) p(a or b) = 0 (d) p(a/b) = p(a) (e) none of the above

A

Step-by-step explanation:

Two events are termed to be mutually exclusive if they cannot happen at the same time. This means that the probability of occurring at the same time is zero.

A is correct.

The probability of the two events happening at the same time is zero

B is incorrect

The probability of both happening at the same is not equal to the probability of B alone

C is incorrect

The probability of the union of the two is never equal to zero since they might occur at different times

D. Is incorrect

The probability of both happening at the same time is never equal to the probability of A alone

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step-by-step explanation:

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find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: