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Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 48 and a standard deviation of 11. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 15 and 70? Round your percentage to 2 decimal places. Do not enter the percent symbol. The amount of time to complete a physical activity in a PE class is approximately normally distributed with a mean of 37.8 seconds and a standard deviation of 8 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 29.9 seconds? C] b) What is the probability that a randomly chosen student completes the activity in more than 41.1 seconds? C] c) What proportion of students take between 31.2 and 42 seconds to complete the activity? [3 d) 95% of all students finish the activity in less than [3 seconds. The average resting heart rate of a population is 89 beats per minute, with a standard deviation of 11 bpm. Find the z-scores that correspond to each of the following heart rates. Round your answers to the nearest hundredth, if necessary. (a) 97 bpm Z = (b) 72 bpm Z =The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.6 years and a standard deviation of 0.4 years. He then randomly selects records on 31 laptops sold in the past and finds that the mean replacement time is 3.5 years. Assuming that the laptop replacement times have a mean of 3.6 years and a standard deviation of 0.4 years, find the probability that 31 randomly selected laptops will have a mean replacement time of 3.5 years or less. P(M 5 3.5 years) = I: Enter your answer as a number accurate to 4 decimal places. Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample of 249 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.26 and 0.45? Answer = [3 (Enter your answer as a number accurate to 4 decimal places.) Out of 400 people sampled, 152 had kids. Assuming the conditions are met, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places <_ you want to obtain a sample estimate population proportion. based on previous evidence believe the proportion is approximately would like be confident that your within of true how large size required use value rounded decimal places in calculation. mc people owned cats p-value is: : said they prefer gum point decimals confidence interval table below show data has been collected from different fields various farms certain valley. contains grams raspberries tested and amount their vitamin c content mg. find linear model express as function weight raspberries. round answers raspberry type mg farm north field b south d e y="ac" equation tony invested some money an account. balance account given by where t number years since initial investment was made balance. tells us started with increasing at rate dollars per yearthe manufacturer advertisements vehicles horsepower highway gas mileage this answer following questions. correlation coefficient. final four places. write regression below. all numbers using shown above for car two what percentage variation can explained miguel investigating long his phone battery lasts hours brightness levels scale displayed graph level . residual>