Question 1:

Suppose X ~ NV(43.7, 1.6). What is the z-score of a = 44.4? (Round your answer to two decimal places.) Submit QuestionSuppose X ~ NV(15, 1.1). What value of a has a z-score of -0.01? (Round your answer to 2 decimal places.)In a normal distribution, a = 37 and z = - 0.75. This tells you that a = 37 is standard deviations Select an answer the mean.In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 49 and a standard deviation of 4. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 45 and 53? Do not enter the percent symbol. ans =The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is 51101] and the standard deviation is STD. .990 106-0 1130 1200 12??) 1346' 1410 Distribution of Prices {1 What is the approximate percentage of buyers who paid between $1200 and $1410? What is the approximate percentage of buyers who paid between $1290 and SEW? What is the approximate percentage of buyers who paid more than 51410? Q What is the approximate percentage of buyers who paid more than 51340? :|% What is the approximate percentage of buyers who paid between $1290 and 513413? What is the approximate percentage of buyers who paid between $113121I and 51111}? E The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 5? ounces and a standard deviation of 2" ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch the distribution. a} 95% of the widget weights lie between and b} What percentage of the widget weights lie between 513 and T1 ounces? 95 c} What percentage of the widget weights lie below 1'3? E