The EV companies new battery is much more robust compared to the last battery (thankfully!). The...

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The EV companies new battery is much more robust compared to the last battery (thankfully!). The car will drive unless more than 5 cells stop functioning. Each time the car is driven there is a 1% chance that a cell will stop working. a) What is the probability of the car stopping due to battery problems after being used 100 times (provide the R or excel function)? b) What are the parameters, expected value and standard deviation for this distribution? c) What is the probability of the car stopping due to battery problems after being used ≤ 500 times (provide the R or Excel function)? The EV companies new battery is much more robust compared to the last battery (thankfully!). The car will drive unless more than 5 cells stop functioning. Each time the car is driven there is a 1% chance that a cell will stop working. a) What is the probability of the car stopping due to battery problems after being used 100 times (provide the R or excel function)? b) What are the parameters, expected value and standard deviation for this distribution? c) What is the probability of the car stopping due to battery problems after being used ≤ 500 times (provide the R or Excel function)?

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