Answer:
1/4
Step-by-step explanation:
sorry for the messy work
Seven people enter the elevator on the first floor of a 12 story building. What is the probability that no two will get off on t
1 answer:
Answer:
The probability that no two people will get off on the same floor is 0.1114.
Step-by-step explanation:
The number of people in the elevator is 7.
The number of floors is 12.
Then the arrangement in which 7 people can get off on the 12 floors in .
The total number of ways in which the 7 people can get off on the 12 floors is .
The probability that no two people will get off on the same floor is:
Thus, the probability that no two people will get off on the same floor is 0.1114.
You might be interested in
Answer:
And the best option would be:
C. [17.42,20.78]
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s=1.5 represent the sample standard deviation
n=9 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.99 or 99%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that
Now we have everything in order to replace into formula (1):
And the best option would be:
C. [17.42,20.78]