(a) Find P(121 ¡Ü X ¡Ü 139), the probability that a randomly chosen girl at the start of 1st grade is between 121 and 139 centimeters tall. (Round your answer to three decimal places.)
P(121 ¡Ü X ¡Ü 139) = 1
To find the probability that a randomly chosen girl at the start of 1st grade is between 121 and 139 centimeters tall, you need to know the total number of girls in the 1st grade and the number of girls whose heights fall between 121 and 139 centimeters.
If you have this information, you can calculate the probability by dividing the number of girls whose heights are between 121 and 139 centimeters by the total number of girls in the 1st grade.
The formula for probability is:
P(121 ≤ X ≤ 139) = (number of girls whose heights are between 121 and 139) / (total number of girls)
Since the probability is given as 1, it means that all the girls in the 1st grade fall between the height range of 121 and 139 centimeters. In other words, the probability of randomly choosing a girl whose height is between 121 and 139 centimeters is 100%.
Note that without knowing the total number of girls in the 1st grade or additional information, it's not possible to determine the specific probability.