Answer:
(a) 
(b) 
Step-by-step explanation:
Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).
So
Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.
(a)
Therefore, to answer question (a) we use the following equation presented in the attached image:
Where:

Then:

(b)
For part (b) we have:


Answer:
Step-by-step explanation:
opp=x,hyp=10
sin 53°=
cross multiply
sin 53° x 10 =x
0.7986 x 10=x
7.98=x
x≅ 8.0
It maybe be B if i am wrong i am sorry.

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Multiply the numbers and add the exponents.