Answer:
<em> (n - 1)/2</em>
Step-by-step explanation:
F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)
= (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)
(there are n terms of 1)
= n - (1 + 2 + 3 + ... + n)/n
= n - [n x (n + 1)/2]/n
= n - [n x (n + 1)]/[2 x n]
= n - (n+1)/2
= (2n - n - 1)/2
= (n - 1)/2
Hope this helps!
Answer:
The probability that none of these taxpayers will be audited by the IRS is 0.8996 or 89.36%
Step-by-step explanation:
According to given:
Probability of being audited for income less than $50,000 = 6/1000 = 0.006
Therefore,
Probability of not being audited for income less than $50,000 = 1 - 0.006 = 0.994
Similary,
Probability of being audited for income more than $100,000 = 49/1000 = 0.049
Therefore,
Probability of not being audited for income more than $100,000 = 1 - 0.049 = 0.951
Now, for the probability of 2 persons with less $50,000 income and 2 persons with more than $100,000 income, to not being audited, we must multiply the probabilities of not being audited of each of the 4 persons.
Therefore,
Probability that none of them is audited = (0.994)(0.994)(0.951)(0.951)
<u>Probability that none of them is audited = 0.8936 = 89.36%</u>
If temperature (T) and amount of gas (n) remain constant, but pressure (P) and volume (V) change, then the ideal gas law: PV = nRT becomes
P1V1 = P2V2 --> (41)(16) = P2 (4)
--> P2 (4) = 656
P2 = 656/4 = 164 kPa
Answer:
A
Step-by-step explanation:
As the sample size n increases, the sample mean (μy) becomes a more accurate estimate of the parametric mean, so the standard error of the mean becomes smaller. Therefore, the variance of y decreases and the distribution of y becomes highly concentrated around μy.
The answer is $120, because you do;
0.40x = 48
YOU DIVIDE 48 ÷ 0.40 = 120
YOU'RE WELCOME ;)
