The probability of picking red button is 
<u>Solution:</u>
Given, A jar contains 30 red, 30 blue, and 60 white buttons.
You pick one button at a random choice,
We have to find the probability that it is red button.
Now, total number of buttons = 30 + 30 + 60 = 120 buttons.
Number of favourable cases for red button = 30 red buttons.
The probability of an event is given as:


Thus the probability that it is red is 
Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:

From equation 1:

Putting the value of y in equation 2

Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation

Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
Answer:
a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.
b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.
Step-by-step explanation:
In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

For n=25 we have:

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.
This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.
If n=50, we have:

Answer:
$97.65
Step-by-step explanation: