Question
1.) For the first 7 months of the year, the average precipitation in a certain part of the country is 19.32 inches. Assume the variable
1.) For the first 7 months of the year, the average precipitation in a certain part of the country is 19.32 inches. Assume the variable is normally distributed with a standard deviation of 2.44 inches. Find the probability that a randomly selected year will have more than 18 inches of precipitation in the first 7 months. (Round your final answer to four decimal places.)
2.) The average cost of repairing a smartphone is $120 with a standard deviation of $10.50. Find the minimum and maximum costs of a smartphone repair job that cover the middle 70% of the market. Assume the variable is normally distributed. (Round your answers to the nearest cent.)
Minimum cost=___________
Maximum cost=__________
3.) Assume that men's heights are normally distributed with a mean of 68.6 inches and a standard deviation of 3.6 inches. If 37 men are randomly selected, find the probability their sample average height will be greater than 69.4 inches. (Round your final answer to four decimal places.)
4.) A study on the "usage lifetime" of cellphones found the average is 24.3 months. The standard deviation is 2.6 months. If a sample of 39 cellphones is selected, find the probability that the mean lifetime of these phones will be less than 25.8 months. Assume cellphone life is a normally distributed variable. (Round your final answer to four decimal places.)
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