Based the density function of the observed outcome, the probability 
is equal to 0.1388.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:
Next, we would calculate ;
![P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388](https://tex.z-dn.net/?f=P%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%20%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7B%281-x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%7Cx-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%7C%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B18%7D%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D0.1388)
Read more on probability here: brainly.com/question/25870256
Answer:
Skew right
Explanation:
In any data set where the mean is to the right of the median, that means the data skews right. You can use the saying "the mean follows the skew" to apply this to other distributions.
Some of the things I would do after winning a $500 prize would be:
- If I won the prize, I would travel to the beach to take a break.
- If I won the prize, I would buy a bike for fun.
- If I won the award, I would invite my wife to dinner at a restaurant.
- If I won the prize, I would give my father a new car.
- If I won the prize, I would donate a part to animal care foundations.
<h3>What is a conditional?</h3>
Conditional sentences are a type of sentence that is characterized by having a verb conjugated in the conditional. This verb tense is used to express:
- Probabilities
- Proposals
- Doubts
- Wishes
To write a sentence in the conditional tense, we must specify what event must happen and the immediate cause or the action that we would do after that condition occurs.
Some examples of conditional sentences with the context of the award obtained for the study of biodiversity in Peru would be:
- If I won the prize, I would travel to the beach to take a break.
- If I won the prize, I would buy a bike for fun.
- If I won the award, I would invite my wife to dinner at a restaurant.
- If I won the prize, I would give my father a new car.
- If I won the prize, I would donate a part to animal care foundations.
Learn more about conditionals in: brainly.com/question/5178817
