A manufacturer knows that on average 2% of the electric toasters produced require repairs within 5...

 

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A manufacturer knows that on average 2% of the electric toasters produced require repairs within 5 years after they are sold. When 100 toasters are randomly selected (a) find the exact formula for the probability that 1 or 2 or 3 of them will require repairs (do not simplify); (b) find an approximate probability that at least 10 of them will not require repairs; use the standard normal curve and justify why it can be used. (c) find x such that the probability that at most a toasters will not require repairs is≈ 0.648, use the standard normal approximation. Show all your steps. A manufacturer knows that on average 2% of the electric toasters produced require repairs within 5 years after they are sold. When 100 toasters are randomly selected (a) find the exact formula for the probability that 1 or 2 or 3 of them will require repairs (do not simplify); (b) find an approximate probability that at least 10 of them will not require repairs; use the standard normal curve and justify why it can be used. (c) find x such that the probability that at most a toasters will not require repairs is≈ 0.648, use the standard normal approximation. Show all your steps.

Answer rating: 100% (QA)

aTo find the exact formula for the probability that 1 or 2 or 3 toasters out of 100 will require repairs we can use the binomial probability formula The binomial probability formula calculates the pro... View the full answer