Instructions: Show all of your work. Include what probability distribution you selected and show the variables associated with the distribution (known and unknown).

Question -A thermal control system requires six temperature sensors. The control system will have full functionality if at least 4 of its 6 components are operational. Your company has 20 of these temperature sensors on hand. You call the Logistics Department and request that 6 sensors from the on-hand supply be sent to the production area. Unfortunately, you find out a week later that the company that manufactures the temperature sensors has issued an alert about a systemic failure in that sensor design. Based on the expected failure rate, you estimate that 5 of the 20 sensors that Logistics had on hand are non-operational. What is the probability that your thermal control system will be functional?