Question

ch 12 for this density curve, what percent of the observations lie above 0.2?
80%
10%
20%
90%
question 2
1 pts
ch 12 when we draw a card from a deck, the outcome is uncertain. the cards value is
deterministic.
predictable.
random.

Explanation:

Step1: Recall property of density - curve

The total area under a density - curve is 1. For a uniform density - curve from \(x = 0\) to \(x = 2\) with height \(h=0.5\), we want to find the proportion of the area above \(x = 0.2\).

Step2: Calculate the proportion of the area

The length of the interval from \(x = 0\) to \(x = 2\) is \(L=2 - 0=2\). The length of the sub - interval from \(x = 0\) to \(x = 0.2\) is \(l = 0.2-0 = 0.2\). The proportion of the area corresponding to the sub - interval from \(x = 0\) to \(x = 0.2\) is \(\frac{l}{L}=\frac{0.2}{2}=0.1\). The proportion of the area above \(x = 0.2\) is \(1 - 0.1=0.9\) or 90%.

For the second question:
When we draw a card from a deck, the outcome is uncertain. A deterministic process has a fixed and known outcome, which is not the case here. Predictable implies we can know the result in advance, which is not true for a card draw. The card's value is random because there are multiple possible outcomes and we cannot know which one will occur in advance.

Answer:

Question 1: 90%
Question 2: random.