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The test scores of 32 students are listed below. construct a boxplot for the data set and include the values of the 5-number summary. 32 37 41 44 46 48 53 55 57 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 81 82 83 86 89 92 95 99

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Lab 1: central tendency and standard deviation directions: use excel to compute descriptive statistics. problem: you are the manger of a fast food store. part of your job is to report to the boss at the end of each day which special is selling best. use your knowledge of descriptive statistics and write one paragraph to let the boss know what happened today. here are the data. use excel to compute important values (mean, median, mode, and standard deviation). make sure to include a copy of your work. this should be submitted via canvas (no exceptions). make sure you include your excel work in addition to a summary of the results. special number sold cost huge burger 20 $2.95 baby burger 18 $1.49 chicken littles 25 $3.50 porker burger 19 $2.95 yummy burger 17 $1.99 coney dog 20 $1.99 total specials sold 119