Find the variance(2 decimal).
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- Suppose the proportion of all college students who have used marijuana in the past 6 months is p=0.40.ln a class of 150 students that are representative of all college students,would it be unusual for the proportion who have used marijuana in the past 6 months to be less than 0.33? Yes No Cannot be determined. Explain how you made your decision in the above question.(a) find the value of A and a, correct to 3 decimal places,(b) predict the percentage of mathematicians after 15 years, and(c) predict the percentage of mathematicians attending the conference inthe long run.Calculate the value of x to 2 decimal places:
- Suppose that the time in minutes, Y , that an insect spends on a plant is exponentiallydistributed such that Y ∼Exp( 1/3)(a) Evaluate P(Y > 4)(b) Evaluate P(2 < Y < 6)(c) What is the mean length of time that this insect spends on a plant?Calculate the approximate quantity relatives to two decimal places for the MTN and Cell C stocks overthe period in question.A vehicle purchased for $22400 depreciates at a constant rate of 6%.Determine the approximate value of the vehicle 13 years after purchase
- The Solomon Islands has average precipitation of 3028 mm per year. On a random week in Solomon Islands, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23).A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant rate of 2 feet per second. How fast is the top of the ladder sliding down the wall when the bottom is 5 feet from the wall? The ladder is sliding down the wall at a rate of ____ ft/sex (type an integer or simplified fraction)Jordan has average precipitation of 111 mm per year. On a random week in Jordan, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23).
- 1. In January 2010 you began a one-year study of malaria in a subsidized housing community in Malabon City. You enrolled 500 residents in your study and checked on their malaria status on a monthly basis. At the start of the study, you found that 10 of the residents were positive for malaria and 20 residents were actually vaccinated immigrants. Another 30 residents screened positive for malaria in the months ahead. As an epidemiologist, you want to know the following (expressed in 2 decimal places and per X population when applicable): A. What is the point prevalence of malaria in the screened community on January 1st?B. What is the period prevalence of malaria in this community in the year 2000?C. What is the cumulative incidence for the one year period?radon is a colorless, odorless gas that is naturally released by rocks and soils and may concentrate in tightly closed houses. because radon is slightly radioactive, there is some concern that it may be a health hazard. radon detectors are sold to homeowners worried about this risk, but the detectors may be inaccurate. university researchers placed 12 detectors in a chamber where they were exposed to 105 picocuries per liter (pci/l) of radon over 3 years. here are the readings given by the detectors:91.9 97.8 111.4 112.3 105.4 85.0 103.8 89.6 96.6 109.3 104.8 91.7 Assume (unrealistically) that you know that the standard deviation of readings for all detectors of this type is σ = 9. a. Give the 95% confidence interval for the mean reading μ for this type of detector. b. Is there significant evidence at the 5% level that the mean reading differs from the true value 105? State hypotheses and base a test on your confidence interval from (a). c. Calculate the power of this test against the…