9 Lianne models the maximum time in hours that a rechargeable battery can be used, before needing to be recharged, with a rectangular distribution with values between 8 and 12
9
- The probability that the maximum time the battery can be used before needing to be recharged is more than 10.5 hours is equal to \(p\)
Lianne will only buy the battery if \(p\) is more than 0.4
Determine whether Lianne will buy the battery.
[0pt]
[2 marks]
9 - A histogram is plotted for 100 recharges showing the maximum time the battery can be used before needing to be recharged.
\includegraphics[max width=\textwidth, alt={}, center]{62cee897-6eac-40b3-84c1-a0d165ba6903-15_670_1186_404_427}
Explain why the model used in part (a) may not be valid and suggest the name of a different distribution that could be used to model the maximum time between recharges.
\includegraphics[max width=\textwidth, alt={}, center]{62cee897-6eac-40b3-84c1-a0d165ba6903-16_2488_1732_219_139}
\includegraphics[max width=\textwidth, alt={}]{62cee897-6eac-40b3-84c1-a0d165ba6903-20_2496_1721_214_148}