Answer:
Therefore, the probability that a randomly selected graduate earns $40,000 can be 0.5 or 50%.
Explanation:
To determine the probability that a randomly selected graduate earns $40,000 and over, we need to use the given information about the random variable's probability distribution.
From the data provided:
x: 0 1 2 3 4
P(X = x): 0.1 0.2 0.2 0.3 0.2
Let's identify the corresponding income values for each x value:
x = 0: $0
x = 1: $10,000
x = 2: $20,000
x = 3: $30,000
x = 4: $40,000 and over
To calculate the probability of earning $40,000 and over, we need to sum up the probabilities for x values 3 and 4:
P(X ≥ 4) = P(X = 4) + P(X = 3)
= 0.2 + 0.3
= 0.5
Therefore, the probability that a randomly selected graduate earns $40,000 and over is 0.5 or 50%.