Final answer:
To find the probability of assembling the product between 7 and 11 minutes, we can calculate the area under the probability density function (PDF) curve representing the uniform distribution. The probability is 1.
Step-by-step explanation:
To find the probability of assembling the product between 7 and 11 minutes, we need to find the area under the probability density function (PDF) curve that represents the uniform distribution. The PDF of a uniform distribution is constant within the interval and zero outside the interval.
Since the interval for the assembly time is from 6 to 10 minutes, the PDF value is 1/4 within this interval. To find the probability between 7 and 11 minutes, we need to calculate the area under the PDF curve from 7 to 11.
Since the PDF is constant, the height of the rectangle representing the area under the curve is 1/4, and the width is 11-7 = 4 minutes. Therefore, the probability of assembling the product between 7 and 11 minutes is 1/4 * 4 = 1.