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Math 110 Module Update... Q Lab Assignment Name: Section 5.2 Due Date: Math 34 This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week. Identifying Binomial Distributions. In Exercises 5-12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as bino- mial). For those that are not binomial, identify at least one requirement that is not satisfied. 5. Clinical Trial of YSORT The YSORT method of gender selection, developed by the Genetics & IVF Institute, is designed to increase the likelihood that a baby will be a boy. When 291 couples use the YSORT method and give birth to 291 babies, the weights of the babies are recorded. 6. Clinical Trial of YSORT The YSORT method of gender selection, developed by the Genetics & IVF Institute, is designed to increase the likelihood that a baby will be a boy. When 291 couples use the YSORT method and give birth to 291 babies, the genders of the babies are recorded. In Exercises 21-24, assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). 21. If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes. 22. If 20 adult smartphone users are randomly selected, find the probability that exactly 15 of them use their smartphones in meetings or classes. 23. If 10 adult smartphone users are randomly selected, find the probability that at least 8 of them use their smartphones in meetings or classes. 24. If 12 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes. PAGE 66Math 110 Module Updated-1.pdf Q 2 h 36. AAA Batteries AAA batteries are made by companies including Duracell, Energizer, Eveready, and Panasonic. When purchasing bulk orders of AAA batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select 50 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 2000 AAA batteries, and 2% of them do not meet specific cations. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? 44. Chocolate Chip Cookies The Killington Market chain uses this acceptance sampling plan for large shipments of packages of its generic chocolate chip cookies: Randomly select 30 packages and determine whether each is within specifications (not too many broken cookies, acceptable taste, distribution of chocolate chips, and so on). The entire shipment is accepted if at most 2 packages do not meet specifications. A shipment contains 1200 packages of choc- olate chips, and 2% of those packages do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? PAGE 69Significance with Range Rule of Thumb. In Exercises 31 and 32, assume that hybrid- ization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods (as in one of Mendel's famous experiments). 31. Hybrids Assume that offspring peas are randomly selected in groups of 10. a. Find the mean and standard deviation for the numbers of peas with green pods in the groups of 10. b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. c. Is the result of 9 peas with green pods a result that is significantly high? Why or why not? 32. Hybrids Assume that offspring peas are randomly selected in groups of 16. a. Find the mean and standard deviation for the numbers of peas with green pods in the groups of 16. b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. c. Is a result of 7 peas with green pods a result that is significantly low? Why or why not? PAGE 68