Final answer:
The value of P(x < 8) is 0.8 when rounded to one decimal place.
Step-by-step explanation:
The value of P(x < 8) is calculated by finding the cumulative probability of all values less than 8. Given the table, p(x) represents the probability for each x value. To find P(x < 8), we sum up the probabilities for x values less than 8. So, P(x < 8) = P(x = 4) + P(x = 5) + P(x = 6) + P(x = 7)
P(x < 8) = 0.2 + 0.2 + 0.2 + 0.2 = 0.8
Rounding the answer to one decimal place, P(x < 8) = 0.8