Question

suppose that elementatry students ages are uniformaly distributed from 5 to 13 years old. the unshaded rectangle below with area 1 depicts this. the shaded rectangle depcts the probablitly that a randomly selected elementary student will be between ages 8.62 and 10.19 years old. round all answers to 4 decimal places

Answer 1

Assuming uniform age distribution, probability of a student between 7.66 and 10.5 years is approximately 2.89.

The probability that a randomly selected elementary student will be between the ages of 7.66 and 10.5 years old is equal to the area of the shaded rectangle divided by the area of the whole rectangle.

The area of the whole rectangle is 1, because it represents the entire range of possible ages for elementary students (from 5 to 13 years old).

The base of the shaded rectangle is 2.89 years (10.5 years - 7.66 years).

The height of the rectangle is 1, because all ages are assumed to be equally likely.

Therefore, the area of the shaded rectangle is 2.89, and the probability that a randomly selected elementary student will be between the ages of 7.66 and 10.5 years old is 2.89.

So the answer is 2.89.

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