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0 Question 10 v A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.8 years, and standard deviation of 0.7 years. If you randomly purchase one item, what is the probability it will last longer than 2 years? Question Help: > Video MMessage instructor 0 Question 17 v in the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.3 inches, and standard deviation of 1 inches. A) What is the probability that a randomly chosen child has a height of less than 53.5 inches? Answer=[ (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 55.7 inches? Answer=[ (Round your answer to 3 decimal places.) 0 Question 1 v In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.7 inches, and standard deviation of 6.4 inches What is the probability that the height of a randomly chosen child is between 45.4 and 47.6 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer=l (Round your answer to 3 decimal places.) Question Help: > Video L'IMessage instructor Submit Question Question 2 Z = -1 is what percentile? percentile State your answer to the nearest tenth of a percent. Question Help: Message instructor Submit QuestionQuestion 7 The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.899 grams and a standard deviation of 0.312 grams. Find the probability of randomly selecting a cigarette with 0.4 grams of nicotine or less. Round your answer to four decimals. P(X Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0"C and a standard deviation of 1.00'C. A single thermometer is randomly selected and tested. Find P50, the 50-percentile. This is the temperature reading separating the bottom 50% from the top 50%. P50 = \"C (Round answer to three decimal places) Question Help: IE Video 8 Message instructor 0 Question 9 v A manufacturer knows that their items have a normally distributed length, with a mean of 8.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 9.6 inches long? a, Question Help: E Video El Message instructor Sub it Question Question 15 0/1 pt A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1006 and a standard deviation of 200. Scores on the ACT test are normally distributed with a mean of 21.9 and a standard deviation of 4.2. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 27-percentile, find the actual SAT score. SAT score = Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = Round answer to 1 decimal place. If a student gets an SAT score of 1346, find the equivalent ACT score. ACT score = Round answer to 1 decimal place.0 Question 4 v Adult men have an average height of 69.0 inches with a standard deviation of 2.8 in a man with a z-score of 3.75. Round your answer to one decimal place. l 7' inches Question Help: 8 Message instructor Submit Question 0 Question 11 v A manufacturer knows that their items have a normally distributed lifespan, with a mean of 83 years, and standard deviation of 1.6 years. The 10% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. .Question 5 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.1 years, and standard deviation of 0.8 years. If you randomly purchase one item, what is the probability it will last longer than 10 years? Round answer to three decimal places Question Help: Video Message instructor Submit Question0 Question 14 v Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 11.9 years and a standard deviation of 2.2 years Find the probability that a randomly selected quartz time piece will have a replacement time less than 62 years? P(X