Answer: Choice B
Events are not mutually exclusive
The probability of applicant meeting GPA requirement or they volunteer is 65%
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Explanation:
For two events to be "mutually exclusive", it means that they cannot happen at the same time. An example is pulling a black diamond card. In a deck of cards, diamonds are red.
So the question is: "Is it possible to volunteer and meet the GPA requirements at the same time?"
The answer is "Yes, because 250 applicants have done so"
This means that the two events "volunteer" and "meet GPA requirements" are not mutually exclusive. This boils things down between choice A or choice B
Now onto calculating the probability
Let,
A = applicant volunteers
B = applicant meets GPA requirements
P(A) = 600/2000 = 0.300
P(B) = 950/2000 = 0.475
P(A and B) = 250/2000 = 0.125
Using those values, we can say....
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.300 + 0.475 - 0.125
P(A or B) = 0.65
P(A or B) = 65% which is part of the answer
We got 65% so that points to choice B as the final answer
Note: another way to find P(A or B) is to note how 250 meet both requirements so 950-250 = 700 meet the GPA hurdle only, 600-250 = 350 volunteer only, so 700+350+250 = 1300 either meet one requirement or both out of 2000. So 1300/2000 = 0.65 = 65%
√v/nh = r
Divide v by nh
Square root answer
me to so we don’t know how long it is for you
40 is the answer sorry if I’m wrong
Answer:
Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:
Where x' is the sample mean, s is the population standard deviation, n is the sample size and 
is the z-score that let a proportion of 
on the right tail.
is calculated as: 100%-99%=1%
So, 
Finally, replacing the values of x' by 308, s by 17, n by 15 and by 2.576, we get that the confidence interval is:
