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Please help me with these questions.. with explanations. Thank you very much experts! A manufacturer knows that their items have a normally distributed lifespan, with

Please help me with these questions.. with explanations. Thank you very much experts!

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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5 years, and standard deviation of 0.6 years. If you randomly purchase one item, what is the probability it will last longer than 2 years? 0.2023Assuming the length of nails in a large box of 4-inch nails is normally distributed with mean / = 4 with standard deviation o = 0.02, find the following: (round all answers to four decimal places) 1) What is the probability that a randomly selected nail from the box is longer than 4.025 inches? 2) What is the probability that a randomly selected nail from the box is between 3.99 and 4.01 inches? 3) If the manufacturer intends to discard the bottom 5% and the top 5% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded? low-end: high-end

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