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Q: 1. Given that the third term of a geometrical progression (GP) is, and the fifth term is, find the…
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- Evaluate using the chain rule and without applying l'hopital rule.Among the adult population of a certain town 50 per cent are males. 60 per cent are wage earners and 50 per cent are., 45 years of-age or over, 10 per cent of the males are not wage-earners and 40'per cent Of the males are u1ll/er 45. Make the best possible inferenc~ about the limits within which the percentage of persons (male or female) of 45 years or over are wage- earners.---Actuarial Mathematicss---
- Prove property 4The IIIT-Delhi robotics club has organized a Robothon. n robots are placed alongthe edge of a circular area at the middle of the OAT. Each robot will move along arbitrary tracksinside the circle while leaving behind a heat signature along its trail. However, they have beenprogrammed not to cross their own trail or the trail of another robot, neither will they ever moveout of the circle. In case a pair of robots i and j meet at any point, they are removed from the sceneand the club will pay a reward sum of M[i, j] to the owners of these robots. Note that some robotscan keep moving infinitely without ever meeting another one. Given the reward matrix M whereM[i, j] = M[j, i], design a polynomial time algorithm that determines the maximum money theclub might potentially end up spending. For this particular problem, give a very brief justificationof the recurrence.A statistician read that 77% of the population oppose replacing $1 bills with $1 coins. To see ifthis claim is valid, he selected a sample of 80 people and found that 55 were opposed toreplacing the $1 bill. At α = 0.01, test the claim that at least 77% of the population are opposedto change
- How do you do a)? Do I need to use principle of inclusion-exclusion?Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (μ, ρ, σ) for the indicated parameter. An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light. Group of answer choices H0 : p = 0.0016H1 : p > 0.0016 H0 : p > 0.0016H1 : p ≤ 0.0016 H0 : p < 0.0016H1 : p ≥ 0.0016 H0 : p = 0.0016H1 : p < 0.0016In a recent study, 50 males used a new weight-loss supplement, and all but 14 of them experienced weight loss after two weeks. In the same study, 100females used the same supplement, and all but 14 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.
- In a recent study, 50males used a new weight-loss supplement, and 38 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and 16of them experienced weight loss after two weeks.Fill in t he blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one: males/females) in the study. That is because only ____% of them lost weight after two weeks, whereas ____% of the ▼(Choose one:males/females) lost weight after two weeks.In a recent study, 50 males used a new weight-loss supplement, and all but 15 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and all but 22 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.In a recent study, 50 males used a new weight-loss supplement, and 37 of them experienced weight loss after two weeks. In the same study, 25 females used the same supplement, and 16 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible The new weight-loss supplement was more effective on males or females in the study. That is because _______% only failed to lose weight after two weeks, whereas, _______ % of males or females failed to lose weight after two weeks