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The heights of the students in a class (in inches) are: 74, 65, 56, 71, 60, 62, 68, 70, 65, 58, 56, 62, 64, 64, 75, 66, 56, 56, 56, 62.

What is the probability that a randomly chosen student:

a. Is less than 5 feet tall?
b. Is 5 feet 5 inches tall?
c. Is more than 5 feet tall?

Answer :

Final answer:

The probabilities for a randomly chosen student to be less than 5 feet, exactly 5 feet 5 inches, and more than 5 feet tall are 25%, 15%, and 75%, respectively.

Explanation:

The subject of this question is probability in mathematics statistics. Let's break down each part of the question:

a. What is the probability that a randomly chosen student is less than 5 feet tall?

First, we need to convert 5 feet into inches because the heights of the students are given in inches. So, 5 feet equals 60 inches. Counting from your data, we find that there are 5 students whose height is less than 5 feet (or 60 inches). There are a total of 20 students. Therefore, to calculate the probability, we divide 5 by 20, which gives us 0.25 or 25%.

b. What is the probability that a randomly chosen student is 5 feet 5 inches tall?

Again, we need to convert 5 feet 5 inches into inches. So, 5 feet 5 inches equals 65 inches. Doing a count from your data reveals that there are 3 students who are 65 inches tall. Again, to calculate the probability, we divide 3 by 20, which gives us 0.15 or 15%.

c. What is the probability that a randomly chosen student is more than 5 feet tall?

Going by the count from the data, there are 15 students who are more than 5 feet (or >60 inches) tall. So, to calculate the probability, we divide 15 by 20, which gives us 0.75 or 75%.

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