The assembly time for a product is uniformly distributed between 2 to 10 minutes. The probability of assembling the product in less than 6 minutes is
A) 0.
B) 0.50.
C) 0.25.
D) 1.

Question

Quizplus · Accepted Answer

The probability of assembling the product in less than 6 minutes is the area under the probability density function (PDF) from 2 to 6 minutes. Since the PDF is uniformly distributed, the area is simply the length of the interval over the length of the entire interval of possible values, or (6-2)/(10-2) = 4/8 = 1/2 = 0.5. Therefore, the answer is B) 0.50.

The Assembly Time for a Product Is Uniformly Distributed Between