records show that oliver is typically 10 - 30 minutes late for his shift at work. the distribution for the…

records show that oliver is typically 10 - 30 minutes late for his shift at work. the distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve. company policy requires employees to be less than 12 minutes late for work. what percentage of the time will oliver meet company policy? 6.7% 10% 60% 90%

records show that oliver is typically 10 - 30 minutes late for his shift at work. the distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve. company policy requires employees to be less than 12 minutes late for work. what percentage of the time will oliver meet company policy? 6.7% 10% 60% 90%

Answer

Answer:

10%

Explanation:

Step1: Identify range of distribution

The uniform - distribution is from 10 to 30 minutes late.

Step2: Determine favorable range

The company - required range is less than 12 minutes late. The favorable range is from 10 to 12 minutes late.

Step3: Calculate probability

The probability formula for a uniform distribution is $P=\frac{b - a}{B - A}$, where $a = 10$, $b = 12$, $A = 10$, $B = 30$. So $P=\frac{12 - 10}{30 - 10}=\frac{2}{20}=0.1$ or 10%.