Answer:
Part (A) The required PMF is:
Part (B) ![B(x;n,p)=\binom{10}{x}(0.3)^x(1-0.3)^{10-x}](https://tex.z-dn.net/?f=B%28x%3Bn%2Cp%29%3D%5Cbinom%7B10%7D%7Bx%7D%280.3%29%5Ex%281-0.3%29%5E%7B10-x%7D)
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, ![X\sim Hypergeom(n=10, M=15\ and\ N=50)](https://tex.z-dn.net/?f=X%5Csim%20Hypergeom%28n%3D10%2C%20M%3D15%5C%20and%5C%20N%3D50%29)
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
![B(x;n,p)=B(x;10,0.3)\\=\binom{10}{x}(0.3)^x(1-0.3)^{10-x}](https://tex.z-dn.net/?f=B%28x%3Bn%2Cp%29%3DB%28x%3B10%2C0.3%29%5C%5C%3D%5Cbinom%7B10%7D%7Bx%7D%280.3%29%5Ex%281-0.3%29%5E%7B10-x%7D)
You use the rule , y2-y1/x2-x1 , to find the slope so the answer will be = 0-2/4-1 = -2/3
Answer:
12(3y+2x)
Step-by-step explanation:
In this question, we are asked to give an expression that represents the total cost of shorts for the players.
He is ordering 2 pairs of short and 3 shirts. Hence, per player, he would be spending the following:
2 pairs of shorts at x dollars each. Cost here is just $2x
3 shirts at y per one. Cost is $3y
Per player he is spending a total of 3y + 2x
Now, there are people to cater for. The total amount to spend will now be 12(3y + 2z )