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Pay Your bills: A company audit showed that of 929 bills that were sent out, 639 were paid on time, 108 were paid up to 30 days late, 78 were paid between 31 and 90 days late, and 104 remained unpaid after 90 days. One bill is selected at random. Part: 0/2 Part 1 of2 (a) What is the probability that the bill was paid on time? Round your answer to four decimal places. The probability that the bill was paid on time is l l. X 53 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 Part: 0/ 3 Part 1 of3 (a) What is the probability that an asthma patient is between 1 and 17 years old? The probability that an asthma patient is between 1 and 17 years old is 1 1. A sample of 300 internet users was selected. Find the complements of the following events. Part: 0 / 4 Part 1 of4 (a) More than 244 of them use Google as their primary search engine. The complement is: l(Choose one) V of them use Google as their primary search engine. 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: 0 / 4 Part 1 of4 (a) Find the probability that it is cracked. The probability that it is cracked is 1 1. 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 X 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: 0 / 4 Part 1 of 4 (a) Find P (2). P (2) = X 5Dirty 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 0.40 0.17 0.06 0.03 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Compute the mean up . Round the answer to at least two decimal places. Hy = XInsurance: An insurance company sells a 1year term life insurance policy to an 78yearold 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 U.S. Centers for Disease Control and Prevention, the probability that an 78yearold man will be alive 1 year later is 0.9537. LetXbe the profit made by the insurance company. Part: 0/2 Part 1 of2 (a) Find the probability distribution. The probability distribution is x l l 2000 x 63 P(x)ll ll Determine the probability P(3) for a binomial experiment with n=6 trials and success probabilityp=0.6. Then find the mean, variance, and standard deviation. Part: 0 / 3 Part 1 of3 Determine the probability P (3). Round the answer to at least four decimal places. 13(3): '7' X S Determine the probability P(10 or more) for a binomial experiment with n=11 trials and success probabilityp=0.6. Then find the mean, variance, and standard deviation. Part: 0 / 3 Part 1 of3 Determine the probability P (10 or more). Round the answer to at least four decimal places. P(10 or more)='i' X 53 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: 0 / 4 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 l 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. Part: 0 / 4 Part 1 of4 (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 1. Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean 11.: 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. Part: 0 / 3 Part 1 of3 (a) What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tail is l l. Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean p=111 inches and standard deviation 0': 13 inches. Use the Excel spreadsheet to answer the following. Round the answers to at least two decimal places. Part: 0/3 Part 1 of3 (a) Find the 25th percentile of the tree heights. The 25th percentile of the tree heights is l l inches