Answer:
Step-by-step explanation:
The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.
The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.
The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.
Please check the screenshop for the workings. Thanks
Answer:
i)D:
ii)R:
iii) Y-int:(0,-1)
Step-by-step explanation:
i) The given absolute value function is;
.
The absolute value function is defined for all real values of x.
The domain is all real numbers.
ii) The range is all y-values that will make x defined.
The given function,
.
has vertex at, (-2,-3) and opens upwards.
This implies that, the minimum y-value is -3.
The range is
iii) To find the y-intercept substitute x=0 in to the function.
.
.
.
.
The y-intercept is (0,-1)
See attachment for graph.
