A passenger train has tickets available for 12 window seats and 8 aisle seat the next person to buy a ticket will be randomly as
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Answer:
Mean: 0.400
Standard error: 0.022
Step-by-step explanation:
We are taking samples of size n=500 out of a population with parameter p=0.40.
The expected distribution is the sampling distribution of sampled proportions. This distribution has parameters that are calculated as:
Mean: the mean of the sampling distribution is equal to the population proportion, as it is not biased.
In this case, the mean of this sampling distribution is p=0.40.
Standard error: the standard error depends on the population proportion and the sample size. It is calculated as:
being p: population proportion, N: sample size.
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Let one number be equal to x.
Since the other is 12 more, we can express this as x + 12.
Write an expression showing the sum of these two numbers equal to 40:
x + (x + 12) = 40
Combine like terms:
2x + 12 = 40
Subtract 12 from both sides:
2x = 28
Divide both sides by 2:
x = 14
This is the value of one of the numbers. Since the other number is "x + 12", we can solve for this value:
14 + 12 = 26.
The two numbers are 14 and 26.