Answer:
They are dependent because we have to select from people who are given cards.
Step By Step Explanation:
So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .
Probability we'll be equal to = number of people with card(C) two persons/total number of people
Where C represent combination
Answer:
See the proof below.
Step-by-step explanation:
For this case we just need to apply properties of expected value. We know that the estimator is given by:

And we want to proof that 
So we can begin with this:

And we can distribute the expected value into the temrs like this:

And we know that the expected value for the estimator of the variance s is
, or in other way
so if we apply this property here we have:

And we know that
so using this we can take common factor like this:

And then we see that the pooled variance is an unbiased estimator for the population variance when we have two population with the same variance.
Answer:
Step-by-step explanation:
Q5) 4/9 is 0.4 recurring not just “0.4”
Q6) 6 and 7
Q7) 5.385
Answer:
Standard error of the mean parameter the average content of colognes
S.E = 0.02 ounces
Step-by-step explanation:
<u><em>Explanation</em></u><em>:-</em>
<em>Size of random sample 'n' = 121 bottles</em>
<em>mean of the sample </em>
ounces
<em>Standard deviation of Population</em>
<em> σ = 0.22</em>
<em>Standard error of the mean parameter the average content of colognes</em>
<em> </em>
<em></em>
<em> </em>
<em></em>
S.E = 0.02
<u><em>Final answer:-</em></u>
<em> Standard error of the mean parameter the average content of colognes</em>
<em> S.E = 0.02 ounces </em>
<em></em>