Answer:
The proportion of memory sticks that will be scrapped is 0.3 = 30%.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Distributed uniformly between 3mm and 13 mm.
This means that ![a = 3, b = 13](https://tex.z-dn.net/?f=a%20%3D%203%2C%20b%20%3D%2013)
Calculate the proportion of memory sticks that will be scrapped:
![P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3](https://tex.z-dn.net/?f=P%28X%20%3E%2010%29%20%3D%20%5Cfrac%7B13%20-%2010%7D%7B13%20-%203%7D%20%3D%20%5Cfrac%7B3%7D%7B10%7D%20%3D%200.3)
The proportion of memory sticks that will be scrapped is 0.3 = 30%.