26 v ( 1* Fi of allAmericans Live in cities with population greater than 100,000 people. If 31 Americans are randomly.r selected, find the probability.r that a. Exactly...r 24 of them Live in cities with population greater than 100,000 people. I I b.1501 most 24 of them live in cities with population greater than 100,000 people. I I c. At least 25 of them live in cities with population greater than 100,000 people. I I d. Between 20 and 20 {including 20 and 25] of them Live in cities with population greater than 100,000 people. _=I 2? F Births are approximately Uniformly distributed between the 52 weeks of the year. Theyr can be said to follow a Uniform distribution from 1 to 53 {a spread of 52 weeks]. Round answers to 4 decimal places when possible. a. The mean of this distribution is 2? v" o'5 b. The standard deviation is 42.5 X o. The probability that a person will be born at the exact moment that week 39 begins is F'|{x = 39] = 55.25 X d. The probability that a person will be born between weeks 3 and 45 is PIS} sf :1: {If 45] = 54 X e. The probability that a person will be born after week 35 is Pp: > 36} =I I f.F[x>?|x Next question Get a similar question You can retry this question below The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/10 where x goes between 2 and 12 minutes. Round answers to 4 decimal places when possible. a. This is a Uniform v distribution. b. It is a Discrete X distribution. c. The mean of this distribution is 34.28 d. The standard deviation is e. Find the probability that the time will be at most 5 minutes. f. Find the probability that the time will be between 4 and 10 minutes. g. Find the 10th percentile. h. Find the probability that the time is more than 11 minutes given (or knowing that) it is at least 6 minutes.i31 v { 3' Private nonprofit four-year colleges charge, on average, $115,822 per year in tuition and fees. The standard deviation is 5?,096. Assume the distribution is normal. Let K be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of it? it ~ Hi| H i b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 23,439 per year. I {Round to the nearest dollar.] c. Find the 62nd percentile for this distribution. 5 31 v ( 3* According to a study...r done by UCB students, the height for Martian adult males is normally.r distributed with an average of 65 inches and a standard deviation of 2.5 inches. Suppose one Martian adult male is randomly...r chosen. Let I = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? I ~ N|{ ill b. Find the probability that the person is between 62 and 154.3 inches. I c. The middle 205%- of Martian heights Lie between what two numbers? Low: I I inches High:-I I inches 36 The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.3 ppm and standard deviation 1.4 ppm. 11 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of D? C - N( c. What is the probability that one randomly selected city's waterway will have more than 8.7 ppm pollutants? d. For the 11 cities, find the probability that the average amount of pollutants is more than 8.7 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 11 cities. Q1 = ppm Q3 = ppm IQR: ppm37 A computer selects a number X from 3 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U b. Suppose that the computer randomly picks 37 such numbers. What is the distribution of @ for this selection of numbers. I ~ N( C. What is the probability that the average of 37 numbers will be less than 6.3?38 The average amount of money that people spend at Don Mcalds fast food place is $7.9800 with a standard deviation of $1.8200. 47 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of D? C ~ N( C. What is the distribution of > >? ) a - NC d. What is the probability that one randomly selected customer will spend more than $7.9018? e. For the 47 customers, find the probability that their average spent is less than $7.9018. f. Find the probability that the randomly selected 47 customers will spend less than $371.3846. g. For part e) and f), is the assumption of normal necessary? O Yes No h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 47 people who spend the most money. At least how much must a group of 47 spend in total to get the free sundae? $Suppose the condence interval [0.6358, 0.?532) represents the proportion of Skyline College students who say math is their favorite subject. a. Based on the confidence interval, is it likely 605-5 of Skyline College students sayr math is their favorite subject? '12:? Yes, 0.60 is not contained in the interval C3 No, 0.60 is not contained in the interval '3' Yes, all the interval values are greater than 0.60 b. Based on the confidence interval, does it appear that more than 6035 of Skyline College students say math is their favorite subject? '12:? Yes, 0.60 is not contained in the interval '3' No, 0.60 is not contained in the interval '3' Yes, all the interval values are greater than 0.60 c. Based on the confidence interval, does it appear that fewer than 605:\" of Skyline College students say.' math is their favorite subject? '12:? Yes, all the interval values are greater than 0.60 '12:? No, 0.60 is not contained in the interval '3' No, all the interval values are greater than 0.60 41 v 1: ) You are interested in finding a 9896 confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 15 randomlv selected college students. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a distribution. b. With 9896 confidence the population mean number of days of class that college students miss is between land | | days. c. If many groups of 15 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About. I percent of these confidence intervals will contain the true population mean number'of missed class days and about - - percent will not contain the true population mean number of missed class days. IHni'l.' Fl 43 If n = 29, @ = 35, and s = 8, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.44 A smart phone manufacturer is interested in constructing a 90% confidence interval for the proportion of smart phones that break before the warranty expires. 93 of the 1620 randomly selected smart phones broke before the warranty expired. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all smart phones that break before the warranty expires is between and b. If many groups of 1620 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about percent will not contain the true population proportion. Hints45 > Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 275 with 73 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. C.I. =You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 95% confident that you estimate is within 3.59% of the true population proportion. How large of a sample size is required? Video E' [+] n: 9 > Here is a set of sample data. 33 34 18 21 80 8 55 84 43 76 53 52 41 79 56 95 19 27 72 94 Base on the data above, identify the 5 number summary 28.5 52.50 78.25 X 95