In: Math
Answer each sub-question by stating whether the term indicated would increase, decrease, stay the same, or not enough info to say. (Note: “increase” and “decrease” refer to the absolute value.)
a) In the binomial distribution, as N decreases, what happens to the value of the most likely outcome when P = .50?
B. For any N, as P increases from .10 to .50, what happens to the value of the most likely outcome?
C. For any N, as P increases from .50 to .90, what happens to the value of the most likely outcome?
D. When P = .5, what happens to the probability of the most likely individual outcome, as N increases?
E. When P = .8, what happens to the probability of the most likely individual outcome, as N increases?
F. In the binomial distribution, what happens to the value of the most likely individual outcome as N increases and, at the same time, P increases?
G) When P = .5, what happens to the individual probabilities of the very most extreme outcomes (that is, the very highest and lowest possible outcomes) as N increases?
Please show work. Thank You.