4:56 I ? C} B myopenmath.com m 1 pt U1 UDetas 6.2 The Standard Normal Distribution Table: Z-score and Probability Assume that the data is normally distributed a.) Calculate the z-score using the following information: x=11.4p=126=2.6 z-score =[j (Use 2 decimal places) b.) Use the standard normal distribution table to find the area (probability) to the left of the z-score probability =[: (Use 4 decimal places) c.) Find the area (probability) to the right of the z- score probabilty =[:J (Use 4 decimal places) > Next Question 4:56 I ? [3' G myopenmath.com 6.1 The Empirical Rule 68-95-99] 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 41 and a standard deviation of 6. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 35 and 53? Do not enter the percent symbol. > Next Question 4:56 I ? [3' G myopenmath.com (9 7.3 Central Limit Theorem: Finding X Values A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard deviation of 9 grams. If you pick 19 fruits at random, then 20% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest whole gram. [3 > Next