Answer:
P(select green sock) = 1/8
Step-by-step explanation:
If the probability of selecting a white sock is 1/4, then we know there are 2 white socks: 1/4 has the same value as 2 out of 8.
Similarly, we can determine the number of yellow socks: 5/8 is equivalent to 5 out of 8.
Thus, 2 socks are white; 5 are yellow; and the last (the 8th) sock is green.
P(select green sock) = 1/8
Answer:
3.42857143
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
total possible = 36
Favorable = 6
1 6
6 1
2 4
4 2
3 4
4 3
Part/whole
6/36
= 1/6
NOT = 5/6
Answer:

From this result we can conclude that the value of 70.9 is 0.78 deviation below the true mean of 71.5 and that can be considered as unusual. If we conduct a hypothesis test or a confidence interval we will see that we have enough evidence to conclude that the true mean is not significantly different from 71.5.
Step-by-step explanation:
For this case from all the population we know that the population mean and deviation are:

And we take a random sample of size n =40 and we got a sample mean calculated with the following formula:

And we want to test if this value is unusually low.
Since the sample size is large n>30 we can use the central limit theorem who says that the distribution for the sample mean is given by:

And on this case if we replace the values that we have we got:

For this case we can calculate how many deviations above or below is our calculated value from the sample of size 40, using the z score given by:

From this result we can conclude that the value of 70.9 is 0.78 deviation below the true mean of 71.5 and that can be considered as unusual. If we conduct a hypothesis test or a confidence interval we will see that we have enough evidence to conclude that the true mean is not significantly different from 71.5.