Answer:To find P(x < 24):
Sum the frequencies for x values less than 24:
P(x < 24) = F(20) + F(21) + F(22) + F(23)
P(x < 24) = 22 + 8 + 11 + 6
P(x < 24) = 47
Calculate the total number of students by summing all the frequencies:
Total number of students = F(20) + F(21) + F(22) + F(23) + F(24)
Total number of students = 22 + 8 + 11 + 6 + 3
Total number of students = 50
Now, divide the sum of the frequencies for x < 24 by the total number of students to find the probability:
P(x < 24) = 47 / 50
To express the probability as a decimal, divide 47 by 50:
P(x < 24) = 0.94
So, the probability that a randomly selected student from the class is younger than 24 years old is 0.94 or 94%.