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Candle Lighter Problem: A butane candle lighter does not always light when you pull the
Chapter 9, Problem R.7(choose chapter or problem)
Candle Lighter Problem: A butane candle lighter does not always light when you pull the trigger. Suppose that a lighter has a 60% probability of lighting on any one pull. You pull the trigger six times. Let P(x) be the probability it lights exactly x of those times. a. Show the method used to calculate P(4). b. In a time-efficient way, calculate P(x) for each value of x in the domain. c. Plot the graph of P as a scatter plot on your grapher. Sketch the result. d. Find the probability that the lighter lights at least half the time. e. Why is this random experiment called a binomial experiment?
Questions & Answers
QUESTION:
Candle Lighter Problem: A butane candle lighter does not always light when you pull the trigger. Suppose that a lighter has a 60% probability of lighting on any one pull. You pull the trigger six times. Let P(x) be the probability it lights exactly x of those times. a. Show the method used to calculate P(4). b. In a time-efficient way, calculate P(x) for each value of x in the domain. c. Plot the graph of P as a scatter plot on your grapher. Sketch the result. d. Find the probability that the lighter lights at least half the time. e. Why is this random experiment called a binomial experiment?
ANSWER:Step 1 of 7
A butane candle lighter does not always light when you pull the trigger. Suppose that a lighter has a 60% probability of lighting on any one pull. You pull the trigger six times. Let P(x) be the probability it lights exactly x of those times. For further solving we need to use binomial distribution formula.
Formula regarding binomial distribution is
Where
