A bag of colored blocks contains the following assortment of colors:
red (18), blue (14), orange (20), purple (14), green (10), and yellow (4).
Construct the probability distribution for x.
I'm so lost....
To construct the probability distribution for x, we need to determine the probability of each possible outcome (color) occurring.
Step 1: Calculate the total number of blocks in the bag:
Total = red + blue + orange + purple + green + yellow.
Total = 18 + 14 + 20 + 14 + 10 + 4.
Total = 80.
Step 2: Calculate the probability of each color occurring:
Probability (red) = Number of red blocks / Total number of blocks.
Probability (red) = 18 / 80.
Probability (red) = 0.225.
Similarly, calculate the probabilities for the other colors:
Probability (blue) = 14 / 80 = 0.175.
Probability (orange) = 20 / 80 = 0.25.
Probability (purple) = 14 / 80 = 0.175.
Probability (green) = 10 / 80 = 0.125.
Probability (yellow) = 4 / 80 = 0.05.
Step 3: Create the probability distribution table for x:
Color | Probability
-------------------------
Red | 0.225
Blue | 0.175
Orange | 0.25
Purple | 0.175
Green | 0.125
Yellow | 0.05
This table represents the probability distribution for x, where x is the color of a randomly selected block from the bag. Each color has an associated probability of being selected.