Answer:
(a)Dependent
(b)Both
(c)Independent
Step-by-step explanation:
a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.
(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.
(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.
Answer:
(I) yessssssssssssssssssssssss
The problem is already in terms of c.
ax+bx/3=c
ax+bx=3c
x(a+b)=3c
a+b=3c/x
a=3c/x +b or b=3c/x -a
The probability is 0.7011.
Z-scores are computed using the formula
z = (X - μ)/σ
The z-score for the lower limit is
z = (7.5 - 8)/0.3 = -1.67
The z-score for the upper limit is
z = (8.2 - 8)/0.3 = 0.67
Using a z-table (http://www.z-table.com) we see that the area to the left of the lower limit, less than that, is 0.0475. The area to the left of the upper limit, less than that, is 0.7486. To find the area between them we subtract:
0.7486 - 0.0475 = 0.7011
His mistake was that he did not use a random sample. His tried to show that playing games would give him higher grades which his study does not decisively conclude because the people around him that play games are likely to be in the same academic caste as him, which skews his data. Choice B would be the best because he's not testing any variables, rather just collecting the unadultered data of the group.
