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:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that [tex]a = 1, b = 797[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?
[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
