Answer:
20.9 cm^3
Step-by-step explanation:
Answer:
There is a
probability that the correct password is found on the sixth try.
Step-by-step explanation:
We have n passwords, only 1 is correct.
So,
Since a password is put back with other, at each try, we have that:
The probability that a password is correct is 
The probability that a password is incorrect is
.
There are 6 tries.
We want the first five to be wrong. So each one of the first five tries has a probability of
. So, for the first five tries, the probability of getting the desired outcome is
.
We want to get it right at the sixth try. The probability of sixth try being correct is
.
So, the probability that the first five tries are wrong AND the sixth is correct is:

There is a
probability that the correct password is found on the sixth try.
Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:


If the balls are replaced after taken, the probability is:


This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:


We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
Answer:
The minimum sample size required is 207.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

The margin of error of this confidence interval is:

Given:

*Use a <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
![MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207](https://tex.z-dn.net/?f=MOE%3Dz_%7B%5Calpha%20%2F2%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C3%3D2.576%5Ctimes%20%5Cfrac%7B29%7D%7B%5Csqrt%7Bn%7D%7D%20%5C%5Cn%3D%5B%5Cfrac%7B2.576%5Ctimes29%7D%7B3%7D%20%5D%5E%7B2%7D%5C%5C%3D206.69%5C%5C%5Capprox207)
Thus, the minimum sample size required is 207.
No, its d because the more likely teachers/parents of school kids they will have to be paying more