Answer:
Part (A) The required PMF is:
Part (B) 
Step-by-step explanation:
Consider the provided information.
There are 50 industrial rms. An inspector will visit 10 randomly selected rms to check for violations of regulations.
Part (A)
15 of the rms are actually violating at least one regulation.
Let X is the number of firms violate at least one regulation from 10 randomly selected rms to check for violations of regulations out of 50 firms of which 15 5 of the rms are actually violating.
Therefore, 
We need to determine probability mass function.
Hence, the required PMF is:
Part (B) If there are 500 rms in the area, of which 150 are in violation, approximate the pmf of part.
Here N=500 so find the probability of p as shown below:
and n=10

Answer:
work is shown and pictured
Answer:
Hence, the answer is 86.42°.
Step-by-step explanation:
We are asked to find how many degrees is the painted spot turning in 0.75 s.
Let us consider that α denote the angle spot is turning in 0.75 sec.
As in 0.75 sec the height of table top is 12.
Hence we can use the trignometric identity to find the measure of angle α.
as 
where P denotes the perpendicular i.e. the height of table top.
and B denotes the base i.e. the number of seconds.
Here P=12 and B=0.75
Hence, 
Answer:
0.19
Step-by-step explanation: