We need to find the probability of the card chosen at random is yellow or brown.
So, since there are 3 yellow cards and 7 brown cards, the total numbers of cards that are yellow or brown is:
Now, the probability that the chosen card is yellow or brown can be found by dividing the above value by the total number of cards in the box.
The total number of cards in the box is:
Thus, that probability is given by:
Therefore, the answer is:
Answer:
a.
b. The symbol y-bar represents the average price of hotels in the area
Step-by-step explanation:
a. The regression line equation is given by:
Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,
y
Obtaining:
.
b. In a simple linear regression model the value of y-bar represents the average of all values of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.
Given function:
The minimum value of the function can be found by setting the first derivative of the function to zero.
Solving for x:
Substituting the value of x into the original function:
Hence, the minimum value in the given range is (-1, -0.368)