Answer:
x=-4
Step-by-step explanation:
<span>When you are sampling from a small finite lot, the hypergeometric distribution applies. The binomial is a poor approximation in this case.
The general equation for the hypergeometric where aCx means the number of combinations of a items selected x at-a-time.:
P(x) =[(aCx)(N-aCn-x)]/NCn
Where
N is the lot size = 20
a is the number of defectives in the lot = 3.
x is the number of defectives in the sample.
n is the sample size = 2.
A. The probability that the first item is defective is
P(x=1) = [(3C1)(17C1)]/(20C2)
= (3)(17)/190 = 0.268
The probability that the second item is defective is
P(x = 1) = [(2C1)(17C1)]/(19C2) = (2)(17)/171 = 0.199.
So the total probability is (0.268)(0.199) = 0.0532
B. The probability that the first item is good is:
P(x = 0) = (3C0)(16C2)]/20C2 = (1)(120)/190 = 0.632
The probability that the second item is defective is
P(x = 0) =[(3C0)(16C2)]/19C2
= (1)(120)/171 = 0.670.
The total probability is 0.632(0.670) = 0.4234</span>
Answer: 100 boxes
Step-by-step explanation:
Hi, since 1 ton = 2,000 lbs
We have to divide 10lbs by 2000 to convert the lbs in tons.
1t/2000lb = xt / 10lb
10 /2000=0.005
0.005 ton = 10 lbs (1 bag)
Each box has 4 bags
0.005 ton x 4 = 0.02 ton
So each box weights 0.02 ton
Since we need 2 tons.
Using proportions:
0.02t/1 box= 2 t / x boxes
x = 2 / (0.02/1)
x = 100 boxes
Feel free to ask for more if needed or if you did not understand something.
Answer:
1) 28
2) 22
3) 6
4) Skewed right
5) 17
Step-by-step explanation:
have a nice day :3
Numerator of the equation is 3*nDenominator is 4*p - 5*n The equation is m = 3n/(4p-5n)
Numerator = 3*n
Denominator = 4*p - 5*n
Equation = [m = 3n/(4p-5n)]