MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Save Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects Probability 0.262 0.301 0.243 0.138 0.042 0.014 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.4. (Round to one decimal place as needed.) The variance is 1.5. (Round to one decimal place as needed.) The standard deviation is 1.2. (Round to one decimal place as needed.) (b) Interpret the results. The mean is , so the average batch of 1000 machine parts has The standard deviation is so the typical number of defects in a batch of 1000 (Round to one decimal place as needed.) no defects. 1 or 2 defects. at least 2 defects. Clear all Check answe!arrow_forwardUse the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.266 0.292 0.238 0.145 0.040 0.019 (a) Find the mean, variance, and standard deviation of the probability distribution. What is the mean? (Round to one decimal place as needed.) (b) Interpret the results In part (a), and Use these values to draw a conclusion in the context of the problem.arrow_forwardUse the probability distribution to complete parts (a) and (b) below. Activities Probability0 0.0571 0.1212 0.1643 0.1784 0.2145 0.1296 0.0837 0.054 (a) Find the mean, variance, and standard deviation of the probability distribution (b) interoert resultsarrow_forward
- Use the probability distribution to complete parts (a) and (b) below. Activities Probability0 0.0611 0.1242 0.1663 0.1674 0.2035 0.1196 0.1167 0.044 (a) Find the mean, variance, and standard deviation of the probability distribution (b) Interpret the results.arrow_forwardThe histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. (a) The mean is 4.005. (Type an integer or a decimal. Do not round.) The variance is (Round to two decimal places as needed.) Probability 0.5- 0.4 0.3- 0.2- 0.1- 0.0¹ 0.019 Reviewer Ratings 0.082 0.218 0.237 3 Rating 4 0.444arrow_forwardCan you please check my workarrow_forward
- Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student 6 7 0 1 2 3 Activities 4 5 Probability 0.059 0.123 0.164 0.176 0.212 0.126 0.085 0.055 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.)arrow_forwardUse the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.290 0.240 0.148 0.042 0.016 ..... (a) Find the mean, variance, and standard deviation of the probability distribution.arrow_forwardThe diameters of ball bearings are distributed normally. The mean diameter is 53 millimeters and the variance is 25. Find the probability that the diameter of a selected bearing is greater than 48 millimeters. Round your answer to four decimal places. Answer Tables Normal Table - to-z Z -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -1.9 -1.8 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 -3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 -3.2 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 -3.1 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 -3.0 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013 -2.9 0.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.0026 0.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0035 0.0036 0.0037 0.0038 0.0039…arrow_forward
- The probability distribution below is for the random variable X = the number of credits taken during the fall semester by a randomly selected student at a large university. Calculate the mean of X. Round to the hundredths place. Credits 14 15 16 17 Probabiblity 0.05 0.65 0.20 0.10arrow_forwardUse the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 1 2 3 4 5 6 7 Probability 0.061 0.122 0.164 0.178 0.211 0.127 0.082 0.055 (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. The mean is ______so the average student is involved in_____The standard deviation is_____so the typical number of activities per student deviates_______arrow_forwardUse the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 3 4 5 Probability 0.259 0.293 0.244 0.150 0.037 0.017 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. The mean is , so the average batch of 1000 machine parts has The standard deviation is so the typical number of defects in a batch of 1000 (Round to one decimal place as needed.)arrow_forward
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