Final answer:
The average life of a Ray microwave, which is uniformly distributed from six months to 9.5 years, is calculated by taking the mean of these two values, resulting in an average life of 5 years.
Step-by-step explanation:
The average life of a Ray microwave, which is uniformly distributed between six months and 9.5 years, can be calculated by taking the mean of the minimum and maximum lifespan values. To convert six months into years, we use the fact that one year is equal to 12 months, so six months is equivalent to 0.5 years. Hence, we'll have a range from 0.5 years to 9.5 years.
The formula for the average (mean) of a uniform distribution is (minimum lifespan + maximum lifespan) / 2. By substituting the values into the formula, we have (0.5 years + 9.5 years) / 2, which simplifies to 10 years / 2, giving us an average lifespan of 5 years for a Ray microwave.