(1) Consider the uniform distribution shown below. All of the following is correct except: The sum of the probabilities is 1. The area under the curve is 1. The probability that x is greater than 6 is 0.5. The probability that x is greater than 2 is 0.125. (2) All of the following describe a standard normal distribution curve except: The values are spread evenly over the range of possibilities. There is a coorespondence between area and probability. Z scores can be used to measure the distance a vaule is above or below the mean. The mean is zero and the standard deviation is one. (3) A nonstandard normal distribution differs from the standard normal distribution. All of the following describe the difference or conversion process except: Z scores can be found by dividing the difference of the x value and the mean by the standard deviation. Z scores are positive when the x values are below the mean. A conversion process allows us to find probabilities. The mean may not be zero and the standard deviation may not be 1 in a nonstandard distribution curve. (4) Use the following uniform density curve. What is the probability that the random variable has a value greater than 2? 0.700 0.750 (5) Use the following uniform density curve. What is the probability that the random variable has a value less than 5? 0.375 0.750 0.500 0.625 (6) Use the following uniform density curve. What is the probability that the random variable has a value between 4.1 and 7.4? 0.4125 0.6625 (7) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The zscore marked is 1.13. 0.8485 0.1292 (8) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The zscore marked is .59. 0.2776 0.2190 0.2224 0.7224 (9) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The zscores marked are 1.08 and 1.08. 0.2802 0.1401 0.7198 0.8599 (10) Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area is 0.9599. 1.75 -1.38 1.82 1.03 (11) Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area is 0.0401. -1.75 -1.63 -1.48 -1.89 (12) Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area is 0.0694. 1.45 1.39 1.26 1.48 (13) he expression z denotes the z score with an area of .... ... to its right. ... greater than the standard deviation. ... of zero. ... to its left. (14) If z is a standard normal variable, find the probability that z lies between 2.41 and 0. Please sketch the curve and mark your scores on your scratch paper to have an expectation of the answer. 0.4910 0.0948 0.4920 0.5080 (15) If z is a standard normal variable, find the probability that z is less than 1.13. Please sketch the curve and mark your scores on your scratch paper to have an expectation of the answer. 0.8708 0.8485 0.1292 0.8907 (16) If z is a standard normal variable, find the probability that z lies between 0.55 and 0.55. Please sketch the curve and mark your scores on your scratch paper to have an expectation of the answer. -0.9000 0.9000 -0.4176 0.4176 (17) If z is a standard normal variable, find the P(z > 0.59). Please sketch the curve and mark your scores on your scratch paper to have an expectation of the answer. 0.7224 0.2224 0.2776 0.2190 (18) For a standard normal distribution, find the percentage of data that are more than 1 standard deviation away from the mean. 34.13% 15.87% 31.74% 68.26% (19) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). The marked xvalue is 110. 0.7486 0.8051 0.6293 0.4400 (20) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). The marked xvalues are 85 and 125. 0.7303 0.7745 0.7619 0.7938 (21) Scores on a test are normally distributed with a mean of 70 and a standard deviation of 11.5. Find P81, which separates the bottom 81% from the top 19%. 0.88 80.1 73.3 0.291 (22) Assume that x has a normal distribution. Find the probability that x is less than 53.0. The mean is = 60.0 and the standard deviation is = 4.0. 0.0401 0.0802 0.5589 0.9599 (23) Assume that x has a normal distribution. Find the probability that x is greater than 17. The mean is = 15.2 and the standard deviation is = 0.9. 0.9713 0.9772 0.9821 0.0228 (24) The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz? 0.4013 0.3821 0.0987 0.5987 (25) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week? 0.2823 0.2177 0.1003 0.7823 Images PRINT THIS SO YOU WILL HAVE THE IMAGES AS YOUR REFERENCE Including the correct images in Quiz 8 has proven to be very cumbersome within the Canvas quizzes. They also challenged this Word document. You will find the images for question 4- 12 listed neatly over the next two pages, but will need to scroll down to page 3 for the image for number 19. The image for number 20 is on the fourth page. Then you may find some blank pages- presumably for your own creative enjoyment. 1) Image is shaded between 2 and 10. The y-axis is labeled at 0.125: For use in numbers 4- 6: 4) What is the probability that the random variable has a value greater than 2? 5) What is the probability that the random variable has a value less than 5? 6) What is the probability that the random variable has a value between 4.1 and 7.4? Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 7) z-score marked is 1.13 8) z-score marked is .59 9) z-scores marked are -1.08 and 1.08 Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 10) Shaded area is 0.9599. 11) Shaded area is 0.0401. 12) Shaded area is 0.0694. Scroll to the next page for the image for number 19. 19) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). The marked xvalue is 110. Scroll to the next page for the image for number 20. 20) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). The marked x-values are 85 and 125