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- Suppose method 1 resulted in 20 unacceptable transistors out of 100 produced, whereasmethod 2 resulted in 12 unacceptable transistors out of 100 produced. Can we conclude from this, atthe 10% level of significance, that the two methods are equivalent?A purchaser of transistors buys them in lots of 20. It is his policy to randomly inspect 4components from a lot and to accept the lot if at least 3 are nondefective. Suppose eachlot contains exactly five defective transisters. What proportion of lots are rejected?Suppose that the population of whales in world’s oceans increasesby 20 % per year in the absence of external factors. If there are originally 1000 whalesand scientists are allowed to capture 150 whales per year, derive an IVP that gives thenumber of whales present in any year and solve it
- If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?A certain sample of E. Coli has 2.5 times the population every hour. If the sample began with 50 cells, which of the following is closest to the population of the sample after 4 hours?In 21-26, us the method of variation of parameters to find a particular solution the of the given DE. Work from first principles without applying formula (21) directly.
- A certain drug is made from only two incredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of B. If a chemist wants to make 553 milliliters of the drug, of many milliliters of compound A are needed?Suppose 1.5% percent of the ball bearings made by a machine are defective and the ball bearings are packed 200 to a box. Compute the pf of the number of defective ball bearings in the box and compare it to the Poisson approximation.1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25 For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z = , and X = 70 corresponds to z = . Therefore,both scores produce the same grade . A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z = , and X = 58 corresponds to z = . Therefore,the better grade would be X = 85, µ = 70, σ = 10 . A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z = , and X = 26 corresponds to z = . Therefore,the better grade would be X = 26, µ = 20, σ = 2 .
- Is there a way to compute this without just manually checking the given solutions?a man is investigating the populaion of bear in two areas. Area 1 and Area 2. He expect the number of bear to be X and Y in area 1 and area 2 to be Poisson- distributeted. He expect the number og bear to be λ1 = 3 in area 1 and λ2 = 5 in area 2. Find P(X = 2) and P(X ≥3) and find an approximate value expression for P(X = Y)Suppose there are four cities at locations x1 = 2; x2 = 5; x3 = 9, and x4 = 11, requiring respectively Ni = 6; 2; 3; 7 visits, respectively. Suppose that the cost-per-mile to ship goods is $4 between x1 and x2, but $8 between x2 and x3, and $10 between x3 and x4. What is the cost of keeping the PDC at x = 6? What about at x = 10?