Answer:
The probability that the machine will dispense at most 8.8 liters is 0.60
Step-by-step explanation:
A uniform distribution, also called a rectangular distribution, is a probability distribution that has constant probability.
The distribution is given by:
f(x)={[tex]\frac{1}{B-A}[/tex]⇒A≤x≤B; 0 ⇒ elsewhere}
Hence,
P(x≤8.8)=[tex]\int\limits^{8.8}_7 {\frac{1}{B-A} } \, dx =\int\limits^{8.8}_7 {\frac{1}{10-7} } \, dx =\int\limits^{8.8}_7 {\frac{1}{3} } \, dx=\frac{1}{3}(8.8-7)=\frac{1}{3}(1.8)=0.6[/tex]
The probability that the machine will dispense at most 8.8 liters is 0.60
