Answer:
1.414214
Step-by-step explanation:
I think this is right lol.
Answer:
The probability that the sample will contain exactly 0 nonconforming units is P=0.25.
The probability that the sample will contain exactly 1 nonconforming units is P=0.51.
.
Step-by-step explanation:
We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.
We can write the probability mass function as:
![P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B%5Cbinom%7BK%7D%7Bk%7D%5Cbinom%7BN-K%7D%7Bn-k%7D%7D%7B%5Cbinom%7BN%7D%7Bn%7D%7D)
where k is the number of non-conforming units on the sample of n=4.
We can calculate the probability of getting no non-conforming units (k=0) as:
![P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%5Cfrac%7B%5Cbinom%7B3%7D%7B0%7D%5Cbinom%7B9%7D%7B4%7D%7D%7B%5Cbinom%7B12%7D%7B4%7D%7D%3D%5Cfrac%7B1%2A126%7D%7B495%7D%3D%5Cfrac%7B126%7D%7B495%7D%20%3D%200.25)
We can calculate the probability of getting one non-conforming units (k=1) as:
![P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51](https://tex.z-dn.net/?f=P%28x%3D1%29%3D%5Cfrac%7B%5Cbinom%7B3%7D%7B1%7D%5Cbinom%7B9%7D%7B3%7D%7D%7B%5Cbinom%7B12%7D%7B4%7D%7D%3D%5Cfrac%7B3%2A84%7D%7B495%7D%3D%5Cfrac%7B252%7D%7B495%7D%20%3D%200.51)
Answer:
Julie's share of the profits is (6/16)($4000) = $1500
Step-by-step explanation:
Write and solve an equation of ratios:
Jane's contrib. $10000 10
---------------------- = -------------- = ------ .
Julie's contrib. $6000 6
Adding 10 and 6 together, we get 16.
Julie's share of the profits is (6/16)($4000) = $1500. Jane would take (10/16)($4000), or $2500.
4x + 8 = -12 is the equation for this statement