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please answer question in the picture (e, f , g) 6) Multiple choice: Answer each

ID: 3332981 • Letter: P

Question

please answer question in the picture (e, f , g)

6) Multiple choice: 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.) T-41 when en P 8, what happens to the probability of the most likely individual outcome, as N increases? 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? f) 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? 7)

Explanation / Answer

e) The most likely value is n*p. Since p is constant, the probability of the most expected value decreases.

This is because since p = 0.8, 1 - p = 0.2 and as N increases the power of 1 - p also increases.

f) As N increases and p increases, 1 - p also increases exponentially.

Therefore probability of the most likely outcome of N decreases.

g) When p = 0.5 p = 1 - p, the only thing that matters is power of p(1-p) which increases as N increases.

Thus the probability of extreme values decreases as N increases.