with explanation question number 2

2:07 PM Fri Apr 15 o no Done Math 210 - Assignment 4 D- Statistics - Winter 2022 (2 of 5) a), 52% E} 1 | Page Assignment 4D Winter 2022 - MATH 210 25 Name (Last, First): Name (Last, First): considered correct and will result in a mark of zero. Late assignments will not be accepted. 1. Quality control department, during the test, found that new mail sorting machine will incorrectly sort packages 0.07 of the times. If 35 packages are randomly selected, find the following probabilities: (Express your answers correct to 4 decimal places) a) Only 3 packages will be sorted incorrectly. [2 marks] b) Maximum 2 packages will be sorted incorrectly. [3 marks] c) Find the mean [1 mark] 1:57 PM Fri Apr 15 . . . 54% a e.centennialcollege.ca ED Q TV|7 ( 1 of 1 ) - + Automatic Zoom > > Table F The t Distribution Confidence intervals 80% 90% 95% 98% 99% One tail, a 0.10 0.05 ).025 0.01 0.005 d.f. Two tails, a 0.20 0.10 0.05 0.02 0.01 3.078 6.314 12.706 31.821 53.657 1.886 2.920 4.303 6.965 9.925 1.638 2.353 3.182 4.54 5.841 1.533 2.132 2.776 3.747 4.604 JaUAWN 1.476 2.015 2.571 3.365 4.032 1.440 1.943 2.447 3.143 3.707 1.415 1.895 2.365 2.998 3.499 1.397 1.860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 10 1.372 1.812 2.228 2.764 3.169 11 1.363 1.796 2.201 2.718 3.106 12 1.356 1.782 2.179 2.681 3.055 1.350 1.771 2.160 2.650 3.012 1.345 1.761 2.145 2.624 2.977 1.341 1.753 2.131 2.602 2.947 1.337 1.746 2.120 2.583 2.921 1.333 1.740 2.110 2.567 2.898 1.330 1.734 2. 101 2.552 2.878 1.328 1.729 2.093 2.861 1.325 1.725 2.086 2.528 2.845 1.323 1.721 2.080 2.518 2.831 1.321 1.717 2.074 2.508 2.819 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060 2.485 2.787 1.315 1.706 2.056 2.479 2.779 1.314 1.703 2.052 2.473 2.771 1.313 1.701 2.048 2.467 2.763 1.311 1.699 2.045 2.462 2.756 1.310 1.697 2.042 2.457 2.750 1.309 1.694 2.037 2.449 2.738 1.307 1.691 2.032 2.441 2.728 1.306 1.688 2.028 2.434 2.719 38 1.304 1.686 2.024 2.429 2.712 40 1.303 1.684 2.021 2.423 2.704 45 1.301 1.679 2.014 2.412 2.690 50 1.299 1.676 2.009 2.403 2.678 55 1.297 1.673 2.004 2.396 2.668 60 1.296 1.671 2.000 2.390 2.660 65 1.295 1.669 1.997 2.385 2.654 70 1.294 1.667 1.994 2.381 2.648 75 1.293 1.665 1.992 2.377 2.643 80 1.292 1.664 1.990 2.374 2.639 90 1.291 1.662 1.987 2.368 2.632 100 1.290 1.660 1.984 2.364 2.626 500 1.283 1.648 1.965 2.334 2.586 1000 1.282 1.646 1.962 2.330 2.581 (2 ) 00 1.282 1.645 1.960 2.326' 2.576d "This value has been rounded to 1.28 in the textbook. One tail Two tails " This value has been rounded to 1.65 in the textbook. "This value has been rounded to 2.33 in the textbook. "This value has been rounded to 2.58 in the textbook. Source: Adapted from W. H. Beyer, Handbook of Tables for Probability and Statistics, 2nd ed., CRC Press, Boca Raton, Fla., 1986. Reprinted with permission.2:07 PM Fri Apr 15 Done Math 210 - Assignment 4 D Statistics - Winter 2022 (2 of 5) a), 52% E} 2. In an experiment of colour preference, a child is asked to select three balls, one at a time from a bin full of red, and blue balls. Count the number of red balls selected. (For questions c and d express your answer correct to two decimal places) a) State the random variable and create the sample space [1 mark] h) Create a table showing the probability distribution for the number of blue balls selected. [2 marks] c) Find the mean for this distribution. [2 marks] d) Find the standard deviation for this distribution. [2 marks] 55%O. . . . C 1:54 PM Fri Apr 15 A e.centennialcollege.ca Done