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Hospital visits: According to a health agency, there were 409,689 hosital visits for asthmarelated illnesses in a recent year. The age distribution was as follows. Round your answers to four decimal places if necessary. Age Range Number Less than 1 year 7862 117 103,032 1844 79,653 4564 121,731 6584 80,658 85 and up 16,753 Total 409,689 Send data to Excel Paving stones: 175 paving stones were examined for cracks, and 18 were found to be cracked. The same 175 stones were examined for discoloration, and 19 were found to be discolored. A total of 7 stones were both cracked and discolored. One of the 175 stones is selected at random. Round all answers to four decimal places. Part 1 of4 (a) Find the probability that it is cracked. The probability that it is cracked is l 0.1029 l. Part:1/4 _ Part 2 of4 (b) Find the probability that it is discolored. The probability that it is discolored is l l. Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let A be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of A is given by X 0 1 2 3 4 P(x) 0.34 0.39 0.19 0.05 0.03 Send data to Excel Part 1 of 4 V (a) Find P (2). P (2) = 0.19 Part: 1 / 4 Part 2 of 4 (b) Find P (2 or fewer).Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. LetXbe the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution oins given by x'0123 4 P(x) 0.34 0.40 0.17 0.06 0.03 Send data to Excel (b) Compute the standard deviation (5X. Round the answer to at least three decimal places. Insurance: An insurance company sells a 1-year term life insurance policy to an 78-year-old man. The man pays a premium of $2000. If he dies within 1 year, the company will pay $42,000 to his beneficiary. According to the US. Centers for Disease Control and Prevention, the probability that an 78-year-old man will be alive 1 year later is 0.9537. LetXbe the profit made by the insurance company. Part1on Q (a) Find the probability distribution. The probability distribution is x 2000 P (x) l 0.9537 0.0463 Correct Answer: x 40,000 2000 P (x) 0.0463 0.9537 Part 2 of2 (b) Find the expected value of the profit. Expected value of the profit is $i '. Google it: According to a recent report, 67% of Internet searches in a particular month used the Google search engine. Assume that a sample of 25 searches is studied. Round the answers to at least four decimal places. Part 1 of4 (a) What is the probability that exactly 20 of them used Google? The probability that exactly 20 of them used Google is ' 0.0691 '. Part:1/4 _ Part 2 of4 (b) What is the probability that 15 or fewer used Google? The probability that 15 or fewer used Google is I l. College bound: A national college researcher reported that 66% of students who graduated from high school in 2012 enrolled in college. Twenty eight high school graduates are sampled. Round the answers to four decimal places. Part10f4 a (a) What is the probability that exactly 16 of them enroll in college? The probability that exactly 16 of them enroll in college is 1 0.0941 1. Part: 1/4 _ Part20f4 (b) What is the probability that more than 15 enroll in college? The probability that more than 15 enroll in college is 1 1. Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean u: 119 inches and standard deviation 6: 17 inches. Use the Excel spreadsheet to answer the following. Round the answers to at least four decimal places. Part10f3 a (a) What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tall is, 0.2588 '. Part: 1/3 Part20f3 (b) What proportion of trees are less than 90 inches tall? The proportion of trees that are less than 90 inches tail is I I. Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean u=111 inches and standard deviation 6: 13 inches. Use the Excel spreadsheet to answer the following. Round the answers to at least two decimal places. Part10f3 a (a) Find the 25th percentile of the tree heights. The 25th percentile of the tree heights is , 102.23 ' inches. Part:1/3 - Part 2 of3 (b) Find the first quartile of the tree heights. The first quartile of the tree heights is I I inches