Final answer:
The probability of assembling the product in less than 6 minutes is calculated using the uniform distribution properties. Since the time interval from 2 to 6 minutes is half of the total range, the probability is 0.5.
Step-by-step explanation:
The question deals with a uniformly distributed variable, which in this case is the assembly time for a product, ranging from 2 to 10 minutes. To find the probability of assembling the product in less than 6 minutes, we need to use the properties of the uniform distribution.
Since the distribution is uniform, the probability is proportional to the length of the time interval. The entire range is 10 - 2 = 8 minutes. The length of the interval from 2 to 6 minutes is 6 - 2 = 4 minutes. Thus the probability that the assembly time is less than 6 minutes is the ratio of the 4 minute interval we are interested in to the total 8 minute range of times.
Calculation:
Probability = (6 - 2) / (10 - 2) = 4/8 = 0.5
The correct answer is b. 0.50, which is the probability of assembling the product in less than 6 minutes.