Answer:
a) uniform
b) 1/2
c) 1/1000
Step-by-step explanation:
a) "numbers with equal probability" have a uniform distribution.
__
b) Even numbers make up 1/2 of all numbers.
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c) There are ten such numbers in the range, so the probability is ...
10/10000 = 1/1000
t/3 is your expression.
feel free to add me as a friend as I am very good at math.
To check for continuity at the edges of each piece, you need to consider the limit as
approaches the edges. For example,

has two pieces,
and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have

By definition of
, we have
, and the limits are


The limits match, so
is continuous.
For the others: Each of the individual pieces of
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
A will be the right answer
16/ 2.10 = 7.6 ounces per $1
20/ 3.15 = 6.3 ounces per $1
So which do you think?