Answer:
1. A
2. C
Step-by-step explanation:
1.The mean is the best measure when the data is not skewed and when it has no outliers. If it is skewed or has outliers, we need to use something like the median or mode. In this case, the most clustered and normal data, with no outliers, is choice A.
Why not B: It has an outlier at 3.
Why not C: It's all over the place, near 70 and then near 25ish.
Why not D: There's a huge outlier at 301 that will bring up the mean, which isn't accurate to the actual center.
2.The mode is most helpful when there is repeating data. In this case, the one that works is choice C, because it has a clear mode of 36.
Why not A or D: They don't have clear modes, because they have two values that have more than one occurence.
Why not B: It has no mode.
You made a mistake with the probability
, which should be
in the last expression, so to be clear I will state the expression again.
So we want to solve the following:
Conditioned on this event, show that the probability that her paper is in drawer
, is given by:
(1)
and
(2) 
so we can say:
is the event that you search drawer
and find nothing,
is the event that you search drawer
and find the paper,
is the event that the paper is in drawer 
this gives us:


Solution to Part (1):
if
, then
,
this means that

as needed so part one is solved.
Solution to Part(2):
so we have now that if
=
, we get that:

remember that:

this implies that:

so we just need to combine the above relations to get:

as needed so part two is solved.
It is D. 35 units I hope this helped ^^
To get the area, all you have to do is multiply the sides. 7*5=35