Question

There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Answer 1

Answer:

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

$P(X < x) = \frac{x - a}{b - a}$

There are 797 identical plastic chips numbered 1 through 797 in a box.

This means that $a = 1, b = 797$

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

$P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357$

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507